The area of the square is
3x2 - 7x + 12. The area of the
triangle is x2 - 8x + 18. Find the
area of the shaded region.

The Area Of The Square Is3x2 - 7x + 12. The Area Of Thetriangle Is X2 - 8x + 18. Find Thearea Of The

Answers

Answer 1

Answer:

Area = 2x² + x - 6

Step-by-step explanation:

The area of the shaded region is the square area minus the triangle area:

[tex](3 {x}^{2} - 7x + 12) - ( {x}^{2} - 8x + 18) \\ {3x}^{2} - 7x + 12 - {x}^{2} + 8x - 18 \\ {2x}^{2} + x - 6[/tex]


Related Questions

The histogram below shows the scores for Mrs. Smith's second block class at Red Rock Middle School.

How many students scored a 77 on the test?

Answers

The number of students that scored a 77 on the test in the histogram D. Cannot be determined.

What is a histogram?

It should be noted that a histogram is simply used to review and provide a visual analysis of data.

In this case, the number of students that scored a 77 on the test cannot be determined.

Learn more about histogram on:

https://brainly.com/question/2962546

#SPJ2

arrange the expressions in increasing order of their values

Answers

1,2,3,4,5 I don’t see any of the numbers

Answer:

Plz give a picture or smth

Step-by-step explanation:

Thanks for the points tho

Identify the population and the sample.

a. A survey of 1000 U.S. adults found that 83% think credit cards tempt people to buy things they cannot afford.
b. Thirty-eight nurses working in the San Francisco area were surveyed concerning their opinionsof managed health care.
c. A survey of 39 credit cards found that the average annual percentage rate (APR) is 12.83%.
d. A survey of 1205 physicians found that about 60% had considered leaving the practice ofmedicine because they were discouraged over the state of U.S. health care.

Answers

Answer with explanation:

In statistics,

Population = Largest set that contains all the individuals or items related to a particular study.Sample = Subset of population.

By using above definitions ,

a. Population = all U.S. adults

Sample = 1000 U.S. adults

b.  Population = all nurses working in the San Francisco.

Sample = 38 nurses working in the San Francisco.

c. Population = all credit cards

Sample =  39 credit cards

d. Population = all physicians.

Sample = 1205 physicians

Write an equation of the line that passes through (2,3) and is perpendicular to the line shown. Please help!!

Answers

Answer:

7.0

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?

Let x = # of boxes

Answers

Answer:

I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, 5) and (6, -7)

Answers

Equation of a line is y=mx+c
m is the gradient and c is the y intercept

gradient = change in y / change in x
so it would be -7-5 divided by 6 - -6 = -12/12 = -1

the equation is now y = -x+c

now to find the y intercept you substitute one of the given coordinates into the equation we already have
(6,-7) —> -7= -(-7) + c
= -7 = 7 + c
= c = -14

we put that back into the equation to get line
y = -x - 14


Solve the proportion ASAP do both promblem

Answers

8. 1/3 = 3/y

or, y= 9

11. 3/x= 6/x+8

or, 6x=3x+24

or, 3x= 24

or, x=8

Hope it helps uh.

Answer:

x = 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Divide both sides by 3.

Hope this helps

Express the reoccurring decimal 0.56 as a fraction

Please see screenshot

Answers

Answer:

I have made it in pic hope it helps

An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.

Answers

Answer:

14 minutes.

Step-by-step explanation:

To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:

2,150X = 30,100

X = 30,100 / 2,150

X = 14

Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.

Question 1 of 10
What is the length of the blue segment in OL below?
A. 7.74 units
B. 15.48 units
C. 7.9 units
D. 3.95 units

Answers

Answer:

7.74

Step-by-step explanation:

solve
hurryyyy plzzz​

Answers

Answer:

1) 1/3+1/2= 5/6   2) 3/4-1/2= 1/4

Step-by-step explanation:

1/3+1/2= 5/6 (multiply each denominator by what both of the fractions can equal, so 1/3= 2/6 and 1/2= 3/6. add 3/6 and 2/6 together) ( whatever you do to the top you do to the bottom)

3/4-1/2= 1/4 ( 3/4 equals 3/4 since 1/2 already equals 2/4, u dont need to change anything to 3/4) but make sure you make 1/2 equal to 3/4 so you can subtract easily!

Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3

Answers

Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

what is the slope-intercerpt form of the equation -8x+2y=4

Answers

Answer:

y= 4x +2

Step-by-step explanation:

Slope-intercept form is y= mx +c.

Thus, rewrite the equation to make y the subject of formula.

-8x +2y= 4

Let's simplify the equation first by dividing both sides by 2.

-4x +y= 2

+4x on both sides:

y= 4x +2

Need some help rn I have an f



Answers

Answer:

C

Plzzzzz give me Brainliest!!!!!  

The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?

Answers

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  [tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]

Answer:

5

Step-by-step explanation:

We know that:

Given expression: [tex]\frac{12z - 3y}{4x - z}[/tex]x = 3y = 1/3z = 5

Solution:

[tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}[/tex]=> [tex]\frac{36 - 1 }{12 - 5}[/tex]=> [tex]\frac{35}{7} = 5[/tex]

Hence, 5 is the answer.

Let p be a prime. Compute the following sum (mod p):

Answers

I should be 2p...+3p- 1 -2...
___________
2(p-1)
Hop it help

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.9 millimeters (mm) and a standard deviation of 1.2 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.)
(a) the thickness is less than 3.0 mm
(b) the thickness is more than 7.0 mm
(c) the thickness is between 3.0 mm and 7.0 mm

Answers

Answer:

a) The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b) The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c) The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ)  = 4.9 mm

Standard deviation of the Population(σ) = 1.2 mm

a)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]

The probability that the thickness is less than 3.0 mm

[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]

                                               =  1 - ( 0.5 + A(1.583)

                                              = 0.5 - A(1.583)

                                             = 0.5 - 0.4430

                                             = 0.057

The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is less than 7.0 mm

[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]

                                          = 0.5 - 0.4599   ( from normal table )

                                          = 0.0401

The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c)

Let 'X' be the random variable in normal distribution

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]  

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7) =  P( - 1.583 < X < 1.75 )

                   =   A(  1.75 ) + A( -1.583)

                  =     A(1.75)+A(1.583)

                 = 0.4599 + 0.4430

                = 0.9029  

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

What are the coefficients of this expression? x + y + 2​

Answers

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5​ of the fence
C) 2/3 hour to complete 1/2​ of the fence
D) 9/4 hour to complete 1/3​ of the fence

Answers

I would assume it’s B and D

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.

Answers

the answer is C you’re welcome :)

Please help me with my homework!!!

Answers

Answer:

Step-by-step explanation:

The nomebers are equivalent (true)

opposites. (true)

produt 1 (false)

a positive value (false)

last on don't now but I think it's (false)

Please help! I will give you points!

Answers

Answer:

the slope line that passes through the point is 4/5

it’s e, three over two

Which of the following could be points on the unit circle?
A. ( 5/13, 12/13)
B. (6/7, pi13/ 7)
C. (1/3, 2/3)
D. (4/3, 4/5)​

Answers

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]

Since the sum of the squares is less than 1, the point is on the unit circle.

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.

Answers

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

-12m = 16 . plz its really important i need some help

Answers

Answer:

-1 and 1/3

Step-by-step explanation:

-12 x -1 1/3= 16

Answer:

-3/4

Step-by-step explanation:

-12m=16

m=12/-16

simplify

m=-3/4

A number divided by 16 is 3/8

Answers

The answer is 6! This can be found by multiplying 3/8 by 16! :)

which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!​

Answers

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

carrie biked 75 miles in 3 days.

Answers

Answer:

25 miles a day

Step-by-step explanation:

75 divided by 3 is 25

Answer:

wow good job carrieee lol

thers no question tho :(

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Tim and Jose are moving furniture. Tim pushes a 150 kg sofa with 300N force. As a result, Sofas acceleration was __________ according to Newtons Second Law of motion. (F = ma) What should the time signature for the following example be! roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation this too pls pls pls Which number is between -0.49 and 0.01 on a number line? PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carlas rate of painting? SELECT ALL THAT APLLY. A) 3/10 hour to complete 2/5 of the fenceB) 4/5 hour to complete 3/5 of the fenceC) 2/3 hour to complete 1/2 of the fenceD) 9/4 hour to complete 1/3 of the fence Which best describes plate tectonics?A.Earth has four large tectonic plates that move in opposite directionsB.Earth has more than a dozen tectonic plates that move in different directionsC.Earth has four large tectonic plates that move eastward due to Earth's rotationD.Eath has more than a dozen tectonic plates that move eastward due to Earth's rotation On Saturday Hallie received a $20 allowance. By Tuesday she had spent $9.35 and on Wednesday shespent $8.20. How much of Hallie's allowance was left after Wednesday? What is the sum of the expression below? (9c 8d) + (2c 6) + (d + 3) A. 11c + 9d 9 B. 11c 9d 3 C. 7c 7d 3 D. 7c 9d + 3 The distribution of goods and services to meet human needs and wants B. a social institution responsible for the production, distribution, and consumption of goods and services C. an organization that produces and distributes goods in a society D. a social institution that helps people to explain the meaning of their lives Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstones diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form. solve the system using elimination -2x + y = 11 2x + 3y= 17 Check Your UnderstandingImagine that you are editing a classmate's writing and you notice this sentence:Intelligence, strength, and good looks, qualities that Harrison Bergeron possesses, is just what the government is trying to control.In your own words, write an explanation so that your classmate understands how to correct the sentence. A holiday costs 1900. Work out the price after a 9% discount If it's not too much of a bother can someone answer this? Thank you =v= [tex] {3}^{4} \times x \times ( \frac{3}{ {x}^{2} } ) {}^{2} [/tex]how do you do this please CORRECT ANSWER WILL GET BRAINLIESTSimpify: Select the correct balanced equation for the combustion of methane.CH4 + 02 -> CO 2 + H2O find the length of side a HURRRY please tell fast plzzzzz class 9