1) Write an equation in point slope form
that passes through the point (1, 2) & slope
of -5

Answers

Answer 1

Answer:

y - 2 = -5 (x - 1)

Step-by-step explanation:

Formula for point-slope equation :

y - y₁ = m (x - x₁)

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

Given :

⇒ Point (x₁, y₁) = (1, 2)

⇒ Slope (m) = -5

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

Solving :

y - 2 = -5 (x - 1)

Answer 2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Equation of line can be written in point - slope form as :

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

y1 = y - coordinate of point = 2

x1 = x - coordinate of point = 1

m = slope = -5

So, required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y - 2 = - 5(x - 1)[/tex]


Related Questions

Consider the function represented by with x as the independent variable. How can this function be written using function notation?

Answers

A function assigns the values. This function can be written using function notation as f(x).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the function represented by x as the independent variable. Therefore, this function can be written using function notation as f(x).

Hence, this function can be written using function notation as f(x).

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer: f(x)-3x+4

Step-by-step explanation:

trust me

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction

Answers

Answer:

the answer is [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

to get the answer, just do [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

plug in the values

[tex]\frac{0-3}{5-1}=\frac{-3}{4} =-\frac{3}{4}[/tex]

That's how you get that.

F 6. A carpenter bought a table for 3500. He spent 500 on repairing and painting it. He then sold it for 3500. What was his profit or loss?​

Answers

Answer:

the carpenter lost 500

Step-by-step explanation:

if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500


EASY POINTS Which of the following statements is true?

Answers

Answer:

B.

Step-by-step explanation:

They form a right angle.

Answer:

B

Step-by-step explanation:

if A were true, this hole shape could not be a triangle as AC and BC would be parallel and never have an intersecting point.

C - the line BC intersects the line EC but only at the very end point. but to bisected means to split it in half, so the intersection would have to be in the middle.

D - the line AC is only perpendicular to DE, and while DE is a perpendicular bisector to AC, AC itself does not split anything in half.

Find the area of the sector

Answers

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 for every pot that is delivered safely. The moving company must pay the florist $5 each for any pots that are lost or broken. If 6 pots are lost, 12 pots are broken, and the rest are delivered safely, how much should the moving company be paid?

Answers

Answer:

$596

Step-by-step explanation:

So, firstly, let's take all the essential info and put it in bullet points:

$200 moving fee$4 for every pot delivered safley$5 each per pot that is lost/broken

Next, what do we know about what's happened to the pots?

6 pots are lost12 pots are broken578 pots are supposed to be delivered

Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-

200

Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.

So, we can subtract that from the total payment.

200-18=182

Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:

578+18=596

So, the total amount you would be paying is $596.

The diameter of a circle is 18 centimeters. What is the circle's circumference?

Answers

Answer:

Circumference ≈ 56.55

Step-by-step explanation:

Given:

Diameter = 18 cm

To Find:

The circumference of the circle

Solution:

Here we'll use the formula of finding the circumference,i.e :

[tex] \boxed{\rm \: C = πd}[/tex]

Here, d = diameterThe value of π is not given, so let us take π = 3.14C = circumference

Substitute them onto the formula:

d = 18 cmπ = 3.14

[tex]\rm C = \pi(18) \: cm[/tex]

[tex]\rm C = 3.14 \times 18 \: cm[/tex]

[tex] \boxed{\rm C \approx \: 56.55}[/tex]

Hence, the circumference of the circle is 56.55(approx).

The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².


true or false​

Answers

Based on the distance formula, the distance between points (3, 7) and (x1, y) is: [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]. SO, it is TRUE.

What is the Distance Formula?

The distance formula which can be applied to find the distance between two coordinate points is: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].

Given the points:

(x1, y1)

(3, 7) = (x2, y2)

Substitute

[tex]d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]

Therefore, the statement that says the distance between points (3, 7) and (x1, y) = [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex], is TRUE.

Learn more about the distance formula on:

https://brainly.com/question/661229

#SPJ1

which quadrilateral is a trapezoid?

Answers

The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

What is a trapezoid?

The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.

A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.

Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

To know more about trapezoids follow

https://brainly.com/question/1463152

#SPJ1

-15ade - 13a factor this pls

Answers

Answer:

a(15de-13)

Step-by-step explanation:

just find the variable(s) that both terms have and take it out and put it off to the side like so

Jimmy invests $25,000 into the stock market which generates 5% interest compounded every month. How much money will he have after 7 years?

Answers

Answer:

35177.51057 (Rounded - 35177.5)

Step-by-step explanation:

Compound Interest -

- Recalculates how much you should be getting

The format will ALWAYS be y=[tex]ab^x[/tex]

A = Starting Value

B = Multiplier

X = Time (years)

5% = .05

1.00 + .05 = 1.05%

y=25,000(1.05)^7

= 35177.51057

Let me know if i did anything wrong <3

A circular plate has circumference 25 7 inches.what is the area of the plate

Answers

Answer:

52.56 square inches.

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Inequalities help us to compare two unequal expressions. The correct option is A.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Another way of writing the inequality 64 < x < 68, where x represents the height of the actor, is x>64 and x< 68. Hence, the correct option is A.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

(PLEASE SOMEONE HELP BRO). Use the drop-down to complete the following inequality. 

Answers

Answer:

<

Step-by-step explanation:

negative + positive = positive - positive

positive - negative = positive + positive

a = positive b = negative

a+b < a-b

Answer:

<

a + b is smaller than a - b as b is in the realm of negative numbers.

Which of these is not represented by one of the letters in PITI?
OA. Title
O
B. Principal
о C. Insurance
O
D. Interest

Answers

The option not represented by one of the letters in PITI is (a) Title

How to determine the letter not represented?

The acronym is give as:

PITI

The meaning of the above acronym is:

P -> PrincipalI ->InterestT -> TaxesI -> Insurance

From the list of given options, we can see that Title is not represented in the letters

Hence, the option not represented by one of the letters in PITI is (a) Title

Read more about PITI at:

https://brainly.com/question/1395659

#SPJ1

The option which is not represented by one of the letters in PITI is,

(a) Title

We have to given that,

The acronym is give as:

⇒ PITI

Since, We know that,

The full form of the above acronym PITI is:

P = Principal

I = Interest

T = Taxes

I = Insurance

Hence, From the list of given options, we can see that Title is not represented in the letters

Therefore, the option not represented by one of the letters in PITI is (a) Title

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

10 + 5/12c = 20 (deltamath.com Two Step Equations with Fractional Coefficients (L1)

Answers

10+5/12c=20
5/12c=10
5c=120
c=24
Answer: c = 24

Step-by-Step Explanation:

10 + 5/12c = 20
10 + (5 * c)/12 = 20
10 + 5c/12 = 20 (Take 12 as LCM)
(10 * 12)/12 + 5c/12 = 20
120/12 + 5c/12 = 20 (Shift 12 to RHS)
120 + 5c = 20 * 12
120 + 5c = 240
5c = 240 - 120
5c = 120 (Shift 5 to RHS)
c = 120/5
=> c = 24

Therefore, c = 24

solve for x in the following equations

Answers

Answer:

2.

[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]

3.

[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]

4.

[tex]x = \frac{3}{7} ≈0.428571429[/tex]

Greg wants to buy a drum set he saw at the market. It costs $250. Greg has $123
How much more does he need? Type your answer in the box.

Answers

The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127

How to solve equation?Total cost of drum set = $250Amount with Greg = $123Amount needed = m

Total cost = Available amount + needed amount

250 = 123 + m

subtract 123 from both sides

250 - 123 = m

127 = m

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

The normal yearly growth of a plant is 60 inches. The normal growth was ten inches more than twice the amount of last year. What was the growth of the plant last year?​

Answers

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

he life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for at most 569 hours. Round your answer to four decimal places.

Answers

Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]

The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{569 - 540}{25}[/tex]

Z = 1.16

Z = 1.16 has a p-value of 0.877.

0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.

2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.

He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Answers

Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.

The volume of the complete sculpture = 4(Volume of a single pyramid)

                                                                 = 4[(1/3) × (2 ft)² × 1.5 ft]

                                                                 = 4(2 ft³)

                                                                 = 8 ft³

Hence, the amount of sculpting material needed is 8 ft³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

Answer:

8ft.^3

Step-by-step explanation:

I just took the test on edge :)

a certain rectangular carpet covers 200 square meters. it’s width is 4 meters. how long is the carpet?

Answers

Answer:

50 square meters

Step-by-step explanation:

Cassandra's Cogs advertises on its website that 90% of customer orders are received within three working days. They performed an audit from a random sample of 100 of the 2,500 orders that month and it shows 85 orders were received on time. Part A: Can we use a normal approximation? Explain. (5 points) Part B: If Cassandra's Cogs customers receive 90% of their orders within three working days, what is the probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less? (5 points)

Answers

Using the Central Limit Theorem, we have that:

a) Yes, it can be used, as np > 10 and n(1 - p) > 10.

b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For the sample, we have that:

np = 85 > 10.n(1 - p) = 15 > 10.

Hence the normal approximation can be used.

As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:

[tex]\mu = p = 0.9[/tex].[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.9(0.1)}{100}} = 0.03[/tex]

The probability of a sample proportion of 85% of less is the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.9}{0.03}[/tex]

Z = -1.67

Z = -1.67 has a p-value of 0.0475.

There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

What are m and b in the linear equation 10 + 4x + 3 + 2x = y?

Answers

Answer:

m = 6

b = 13

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.

10 + 4x + 3 + 2x = y                 <---- Original equation

10 + 3 + 4x + 2x = y                 <---- Rearrange

13 + 4x + 2x = y                       <---- Combine 10 and 3

13 + 6x = y                               <---- Combine 4x and 2x

y = 6x + 13                              <---- Rearrange

As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).

need a little help!!!

Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to the
nearest tenth? Use 3.14 for *.
The ball holds about
cubic inches of air.

Answers

The answer is 615.44

An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

82 degrees and 98 degrees


First, find the original equation

180 = (x) + (x + 16)


Simplify: 180 = 2x + 16


Next, use the subtraction property of equality to subtract 16 from both sides


180 - 16 = 2x + 16 - 16


Simplify: 164 = 2x


Then, you can use the division property of equality to find the value of x

164/2 = 2x/2


Simplify: 82 = x



Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees

3. Siti and Mary shared $35 in the ratio 4:3.
How much money did Siti receive?

Answers

Answer:

$20

Step-by-step explanation:

First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.

[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]

Now we can solve for how much money Siti receives using a proportion.

[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]

We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.

Connor wants to divide 360 jellybeans into equal groups. He wants each group to have more than 5 jellybeans, but less than 100. What are three possible groupings Connor can make?
one group made up of 12 can each have 50 = 600

Answers

Answer:

One way is that there can each be 99 for each. 99x3= 297 which, isn't too far from 360. Another way is that they can each have 50. 50x3=150. The last way is to have them each have 30. 30x3=90.

Step-by-step explanation: Hope I helped at least a little bit. Give brainliset to best answer. I don't think my answer was that good. Let me know if it helped at all.

The graph below represents the distance of a dog from a trainer after a command is given.

The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.

Answers

The dog was running toward the trainer to receive a treat the correct answer is option B.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ1

Multiply and express as a mixed fraction
6 × 2 1/9



Answer should be 12 ⅔
I need method
Please answer correctly ​

Answers

Multiply and express as a mixed fraction

6 × 2 1/9

Other Questions
What was the first state to make july fourth an official holiday?. Which describes the U.S. crime rate over the last decade? We can use radicals if needed, and we need to simply. write three characteristics of fungi The Law, Public Safety and Security career cluster has five different andchallenging pathways that lead to specific occupations that share manysimilarities. . Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90 about vertex F. Then write the coordinates of triangle E'F'G'. given set P={3,6,9}.How many subset can be formed Substance x is known to exist at 1 atm in the solid, liquid , or vapor phase, depending on the temperature. additionally, the values of these other properties of xhave been determined The fact that women often feel pressured to conform to society's expectations is a common feminist theme foundwithin literature. As this theme appears within part two of Trifles, which pair of symbols most strengthens this theme? towel, table bottle of fruit, birdcage breadbox, cats quilt, bird Roman says that the risk of osteoporosis can be reduced by making certain lifestyle choices. Which lifestyle choice could Roman be referring to? O increasing social interaction opportunities O lowering salt intake O managing stressful situations O increasing calcium intake x/9+3 solve the quadractic formula 3x+x-3=0 Choose the best definition for the following phrase: combining like terms (1 point)Group of answer choicesA letter that holds the place for some unknown value in mathematicsA process where you must look for terms that have identical variable parts and then combine their coefficientsA process where if two things are equal, one can be put in the place of the other and nothing will changeTerms that have identical variable parts What is an equation of a circle whose center is at (2,-4) and istangent to the line x = -2?(1) (x - 2)2 + (y + 4) = 4(2) (x - 2) + (y + 4) = 16(3) (x + 2) + (y - 4) = 4(4) (x + 2) + (y - 4) = 16 please help asap6918 Please help me with this PROBABILITY question! I'm really stuck and would really appreciate your help.Please don't post nonsense answers and I'd love it if you could add working out.Thanks :)) Tom opens a bank account and makes an initial deposit of 500$. Then banker tells Tom that he is going to receive an annual rate of 6% on his investment. Find the bank balance assuming Tom leaves the account untouched for 15 years. (Will give brainliest to the person who has the answer correct and will shown work.) The table shows the change in temperature each hour for four hours. Find the total change C in temperature.Change in Temperature7 A.M. - 8 A.M. 3F8 A.M. - 9 A.M. 1F9 A.M. - 10 A.M. +2F10 A.M. - 11 A.M. +8F Colonial powers in the nineteenth century harmed their colonies by:. What activates a convenient current starting to flow of a fluid?