If the equation of a circle is (x + 5)2+(y-7)2=36, its radius is
06
016
0 36

Answers

Answer 1

Therefore , the solution is circle Part 1: The central idea ( -5 , 7 ). 2nd part: Radius is 6 in part 2,3rd part: FALSE and Parts 4. There are 10 miles between A and B.

What is circle?

A circular shape called a circle is created by following a moving point in a plane so that its distance from a particular point remains constant. The Greek word kirkos, which means hoop or ring, distance is the source of the English word circle.

Here,

The common circle equation is,

( x - h )² + ( y - k ) ( y - k )

6² = r²

where the circle's radius is r and the center's coordinates are (h, k).

Part 1.

Using the common circle equation, we obtain,

Circle's circumference's coordinate is ( -5 , 7 )

Consequently, the second choice is the right one.

Part 2.

Using the common circle equation, we obtain,

circle radius is six.

Consequently, the first choice is the right one.

Part 3.

Using the common circle equation, we obtain,

Circle's circumference's coordinate is ( 2 , 3 )

Therefore False.

Part 1.

In comparison to the common circle equation, we obtain,

Circle's center's coordinates are: ( -5 , 7 )

As a result, the second choice is the right one.

Part 2.

In comparison to the common circle equation, we obtain,

circle's diameter is six.

As a result, the first choice is right.

Part 3.

In comparison to the common circle equation, we obtain,

Circle's center's coordinates are: ( 2 , 3 )

So, False.

Part 1.

Giving the distance between two points,

Distance between A(-5, 3) and B (5, 3), expressed as:

=> [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} )}[/tex]

= >  [tex]\sqrt{(-5-5)^{2} + (3-3)^{2} )}[/tex]

=> 10

Thus, 3rd Option is correct.

To know more about circle , visit

https://brainly.com/question/29142813

#SPJ1


Related Questions

Show that 20 subtracted by O is 20, using at least four daily life examples​

Answers

Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:

1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.

2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.

3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.

4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.

I need the answer to this question

Answers

Answer:

it is not factorable

Step-by-step explanation:

There are no factors of 24 that will make -4, so it is not factorable

Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?

Answers

Answer:

To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.

If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.

If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.

If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.

Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.

A blue rope is 3 times as long as a red rope. A green rope is 4 times as long as the blue rope. If the total length of the three ropes is 563.84 meters, what is the length of the blue rope?

Answers

Answer:

105.72 meters

Step-by-step explanation:

We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.

According to the problem statement:

blue rope = 3 * red rope = 3x

green rope = 4 * blue rope = 4 * 3x = 12x

we know that:

red rope + blue rope + green rope = 563.84

x + 3x + 12x = 563.84

then we can solve for x:

16x = 563.84

x = 35.24

So the length of the red rope is 35.24 meters.

The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.

2. What are the domain and range for the exponential parent function,
where b is a positive real number not equal to 1 and a > 0?

Answers

On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

what is domain?

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20

Answers

Answer: B

Step-by-step explanation:

What is the following sum?

Answers

Answer:

The 4th one

Step-by-step explanation:

Right on edge!

hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality are

-6x + 15 < 10 - 5x

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Solving inequality and determining the correct representations

From the question, we are to determine the correct representations of the inequality

From the given information,

The given inequality is

-3(2x - 5) < 5(2 - x)

To determine the correct representations, we would proceed to solve the inequality

Solving the inequality

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

This is one of the representations of the inequality

Then,

Collect like terms

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

Multiply through by -1

x > 5

If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.

Learn more on Solving inequalities here: https://brainly.com/question/24372553

#SPJ1

What is the major theme and minor theme in “Arachne and the weaving contest”

Answers

The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .

What is major axis ?

The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.

given

The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.

As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.

To know more about major axis visit :-

https://brainly.com/question/15295099

#SPJ1

elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used

Answers

Elijah used 24 gigabytes memory on his cell.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Elijah used 3/4 of the memory on his cell phone memory card.

And, The memory card can hold 32 gigabytes.

Now,

Since, The memory card can hold 32 gigabytes.

And, She used 3/4 of the memory on his cell phone memory card.

Hence. The used memory = 3/4 of 32

                                         = 3/4 × 32

                                         = 3 × 8

                                          = 24 gigabytes

Thus, Elijah used 24 gigabytes memory on his cell.

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ1

What are the answers

Answers

Answer:

Rate of change= 1/3

Initial value = -4

Step-by-step explanation:

The rate of change is rise/run = 1/3.

the initial value is the y-intercept which is -4.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]

now as far as the "initial value", dunno what that means.

The start of the line? well, the line by definition goes to infinity both ways.

the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).

PLEASE HURRY I WILL GIVE BRAINLY PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.

c = 87
c = 8.5
c = 35
c = 10

Answers

Answer:c=35

Step-by-step explanation:

i just did this

When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?

Answers

A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.

How to determine the required percentage?

Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:

Z-score, z = (x - μ)/σ

Where:

x is the sample score.σ is the standard deviation.μ is the mean score.

Substituting the parameters into the z-score formula, we have;

Z-score, z = (32 - 32)/3

Z-score, z = 0/3

Z-score, z = 0

Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:

P(x > 32) = P(z > 0)

P(z > 0) = 0.5

P(z > 0) = 50%.

Read more on z-scores here: brainly.com/question/26714379

#SPJ1

Someone HELPPppp for tmr

Answers

Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped


Need Help With This

Answers

Step-by-step explanation:

a) x+20+x+90=180 [sum of 3 angel of triangle]

2x + 110 = 180

2x = 180- 110

2x = 70

x = 70÷2

x = 35

b) 2y + y + y = 180

4y = 180

y = 180÷4

y= 45

c) 4z-30 + 2z = 180

6z = 180 + 30

6z = 210

z = 35

-15 POINTS-
Don’t explain.
Y=[?]

Answers

Step-by-step explanation:

of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.

both shapes are similar.

that means that

1. both have the same angles

2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).

we need 2. here to solve.

AB / EF = f = 3/2

x = AD

x / EH = f = 3/2

x / 2.4 = 3/2

x = 2.4 × 3/2 = 7.2 / 2 = 3.6

Please help will mark

Answers

Answer:

this is the graph and just find the slope each equation

In 2014 a company had a profit of $420000. In 2019 it reported a profit of $1400000.
Find the average rate of change of its profit for that period, expressed in dollars per year.

Answers

The change in profit from 2014 to 2019 is $1400000 - $420000 = $980000.

The time period is 2019 - 2014 = 5 years.

Therefore, the average rate of change in the company's profit is $980000 / 5 years = $<<980000/5=196000>>196000 per year.

Ln 4 - Ln x = 2
Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction

Answers

Ln 4 - Ln x = 2

In logs, when there is a minus you have to divide so the first step is to do the following :

Ln (4/x) = 2

Then you have to convert the logarithm into exponential form using that ln (x) = b is equal to x = e^b. Therefore the next step should look like this :

4/x = e^2

Then multiply both sides by x, which becomes :
4 = (e^2)(x)

Then divide both sides by e^2. Which becomes :

4/e^2 = x
0.541341 = x

To the nearest hundredth, it becomes 0.54

Draw a diagram of x + 2, and a separate diagram of 3x, when x is 2.

Answers

The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

What is diagram in mathematics?

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

Learn more about diagram in brainly.com/question/11729094

#SPJ1

Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

As the value of tan90 is undefined so

Sin60=6/hyperbola

•hyperbola=6/sin60
•hyperbola=4 √3

Now,
We know,

Hyperbola^2= Base ^2 +Perpendicular ^2
•Base(x)= √(Hyperbola^2-Perpendicular ^2)
•Base(x)=2√3

So Value of X is 2√3 (Ans.)

Correct Option: A) 2√3

can someone help me please i really have to do this right now

Answers

Answer: Angles 2 and 4 = 38, Angle 1 = 142

Step-by-step explanation:

Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.

4/9 dividend by 2/3 =

Please help!!!will give brainlest

Answers

Answer:

2/3

Step-by-step explanation:

4/9 divided by 2/3 = 4/9 times 3/2

= 2/3

PLEASE HELP!

An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?

Answers

Answer:

Exact Circumference = 4pi feet

Approximate Circumference = 12.56 feet (when using pi = 3.14)

======================================================

Explanation:

The larger circle has a 3 foot radius.

The inner circle has a 3-1 = 2 foot radius.

Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.

C = 2pi*r

C = 2pi*2

C = 4pi

The exact circumference is 4pi feet. This is the perimeter around the circle.

If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.

Jose has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 85 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Jose can make to earn his first free movie ticket.

Answers

Answer:

x ≥ 10

Step-by-step explanation:

Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35

then divide both sides by 3.5

x ≥ 10

A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.

Answers

Answer:

Below

Step-by-step explanation:

0 ft -4.2 + 3.4 - 10 = -10.8 ft     or 10.8 ft below the surface

Multiply: (–4 + i)(2 – 3i)
a. –5 – 10i


b. –8 + 11i


c. –5 + 14i


d. –11 + 14i

Answers

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

What is the product of the given complex numbers?

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

Read more on product of complex numbers;

https://brainly.com/question/29278325

#SPJ1

.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18


According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.

Answers

According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)

What is average?

It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.

The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is represented mathematically as;

Average = Sum of Values/Number of Values

Average = total swimming pools sold in six months / number of months

Average = (11 + 10 + 12 + 16 + 15 + 18) / 6

Average = 82/6

Average = 13.7

Average = 14 (to the nearest tenth)

Learn more about average here: https://brainly.com/question/20118982

#SPJ1

any help? please make sure it's correct thank you

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 6

Step-by-step explanation:

The slope will be perpendicular to equation through A and B because of the 90 degree angle at B.

Lines that are perpendicular have opposite reciprocal slopes.

The slope of the line we know is 2 (The slope is the number before the x). The opposite reciprocal is -[tex]\frac{1}{2}[/tex].

Now that we have the slope we need a point on the line. They give us that point at (0,6)  We will use the y value of 6 and the x value of 0 from the point given to find the y-intercept.

slope (m) = -  [tex]\frac{1}{2}[/tex]

y = 6

x = 0

We will substitute all of this information into y = mx + b to solve for b (y-intercept)

y = mx + b

6 = - [tex]\frac{1}{2}[/tex] (0) + b

6 = b

Now that we have the slope (- [tex]\frac{1}{2}[/tex]) and the y-intercept (6) we can write the equation

y = - [tex]\frac{1}{2}[/tex] x + 6

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c  m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

BC is perpendicular to AB

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{BC}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

the line BC has point C at (0, 6 ) ⇒ c = 6

y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line BC

evaluate 6²-2(5+1+3)

Answers

Answer:

18

Step-by-step explanation:

36-10-2-6

26-8

18

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]
Other Questions
Which of the following is an explanation for why therapeutic misconception might happen in a phase I trial of a cancer medication A purpose of government in the United States is to 5. Calculate the heat energy required, in joules, to melt 5.00 x 10 grams of ice at 0.0C. Who owns Hitler's home? Can I join Wikipedia? Which statement best describes the chemical relationship between glucose and cysteine?(A.) Some of the carbon, oxygen, and hydrogen atoms in cysteine were once part of a glucose molecule.(B.) All of the carbon-oxygen bonds in glucose become carbon-oxygen bonds in cysteine.(C.) One of the oxygen atoms in glucose was transformed into a sulfur atom during the synthesis of cysteine. Obed manages a large dry cleaning facility. Recently, he asked you how to make sure his facility has the best possible culture. What would you recommend to Obed in terms of choosing an organizational culture Internet one, two separate the coordinate adjectives. Overcome with emotion Russell immediately embrace his beloved childhood friend that you spent the next few hours recalling the siding fun filled Summer afternoons of their youth. Plot the remaining data point. 12 , 1 , 1 14 , 1 14 , 1 34 , 3 , 3 3 What are 2 things that should not be in a thesis statement? Eliza remembers her grandfather telling the story of how he met her grandmother 50 years ago. elizas grandpa has these memories stored in his __________ memory. a. short-term b. long-term c. implicit d. echoic please select the best answer from the choices provided a b c d frederick douglass was a prominent abolitionist. which of these other people was also an abolitionist? Pleas help me with #2, thanks It takes 52 yards of fabric to make 8 costumes for the dance recital. How many yards are needed to make one costume? Make a Ratio Table (MUST INCLUDE THE TABLE!!) Little park that I pass through,I carry off a piece of youEvery morning hurrying downTo my work-day in the town;5 Carry you for country thereTo make the city ways more fair.I take your trees,And your breeze,Your greenness,10 Your cleannessSome of your shade, some of your sky,Some of your calm as I go by;Your flowers to trimThe pavements grim;15 Your space for room in the jostled streetAnd grass for carpet to my feet.Your fountains take and sweet bird callsTo sing me from my office walls.All that I can see20 I carry off with me.But you never miss my theft,So much treasure you have left.As I find you, fresh at morning,So I find you, home returning-25 Nothing lacking from your grace.All your riches wait in placeFor me to borrowOn the morrow.Do you hear this praise of you,30 Little park that I pass through? parallel abcd is similar to parallelogrem efgh. what is the lenght of gh? give any character of gene? Please help fast a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown. One root of the equation 4x + 12x + k = 0, k = Z and x = R, is five times the other root.Find the value of k. -15 POINTS- Find the length of the indicated side of the similar figure X=[?]