a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line

Answers

Answer 1

Answer:

y-1=-2/3(x+9)

Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

Answer 2
Hello!

To write an equation for this line, you must follow these steps:

1. M= Slope (-2/3)
2. X1= -9
3. Y1= 1
4. First, take the equation y - y1 = m(x - x1)
5. Plug the values into the equation
6. Y - 1 = -2/3(x - (-9))
7. Change the sign
8. Y - 1 = -2/3(x +9)
9. Distribute the -2/3
10. Y - 1 = -2/3x - 6
11. Add 1 to both sides
12. Y = -2/3x - 5

This gives you a final answer of y = -2/3x -5 (note that this equation is in slope intercept form)

Hope this helps!

Related Questions

Find the range of the data in the box plot below.

pencils


PLZ ASAP PLZ ASAP

Answers

Answer:

12

Step-by-step explanation:

the range is = maximum value given - the minimum value given

the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.

the range would then be 12 - 0.

Find the volume of the planets

Answers

Answer:

can you show the planets. or do you want real planets volumes?

Are you going to insert a picture?

The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?​

Answers

Answer:

2 6 10

Step-by-step explanation:

Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.

A. (x - 5)2 + (x - 2)2 = V1

B. (x + 5)2 + (x - 2)2 = 19

C. (x + 2)2 ++5)= 19

D. (+52 + (y + 2)2 = 19

Answers

The Answer is D

Hope this helps

Help me please. Im giving 20 points

A telephone pole is 8 meters tall and a pigeon is standing on the ground 6 meters
from the pole. If the pigeon flies from where it is standing to the top of the
telephone pole, how far will it fly?

Answers

Your answer will be 10m.

We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.

a² + b² = c²

(6)² + (8)² = c²

36 + 64 = c²

100 = c²

10 = c

I hope this helps! Let me know if you have any questions :)

find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft


Answers

Answer:

4

Step-by-step explanation:

Given f(x)=(2x-3)(3x+7), what is the y-intercept

Answers

Answer:

(0,-21)

Step-by-step explanation:

The x value of a y intercept is always 0

So we can plug in 0 to the equation to solve for the y intercept

(2*0-3)(3*0+7)

-3*7= -21

y intercept: (0,-21)

Answer:

-21

Step-by-step explanation:

f(x)=(2x-3)(3x+7)

The y intercept is when x=0

f(0) = (0-3) (0+7)

     -3*7

    -21

The y intercept is -21

evaluate this expression:
(1/5 x 5) ^5

Answers

Answer:

The answer is x ^5

Plz I need help with this problem. I'm dumb

Answers

Answer:

V_rectangular_box = width x height x length

V = V_big_one + V_small_one

  =  (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)

Answer:

fjdjdkhfidkfjsidmi

Step-by-step explanation:

irufusidjf9sodf8wpud8dkdhd8idhddh

A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.

20 points i think

Answers

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9

Answers

Answer:

the factors of 63 are:

1,3,7, 9, 21, 63

D. 3, 7, 9, 21, 63

Step-by-step explanation:

The answer is D. 3, 7, 9, 21

What is the area of the regular pentagon with 5 inch sides and an apothem that measures 4.2 inches?

Answers

Answer:

43.01m^2

Step-by-step explanation:

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

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?​

Answers

Answer:

34.35 liters

Step-by-step explanation:

Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?

Answers

We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.

We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.

[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]

[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]

[tex]\text{Actual distance}=675\text{ miles}[/tex]

Therefore, the actual distance from Pensacola to Miami is 675 miles.

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9

Answers

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

The exponential function f, represented in the table, can be written as
f (x)=a*b^x

x | y
___
0|5
1 | 8

Answers

Answer:

f(x) will be 11

Step-by-step explanation:

since the first 1 is (0,5) the (0,8) so +3 so next would be 11

Answer:

5(8/5)^x

Step-by-step explanation:

just help me plssssssssss

Answers

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

In the middle of a basketball court, the circle has a diameter of 5 feet. If
Mrs. Gilbertson's daughter walked around the circle 12 times, how far did
she walk? Use 3.14 for TT. *

Answers

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

What is Arithmetic progression?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

For more references on arithmetic sequence, click;

https://brainly.com/question/15412619

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The population P of birds in an area is modeled by the exponential model

P(t) = 30e-95t where t represents time in years.

Is the population of birds increasing or decreasing?

a. Increasing

b. Decreasing

Answers

(B)Decreasing is the answer

ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?

____ ft^2

Answers

Answer:

it’s 76 ft squared

Step-by-step explanation:

happy to help:)

Giving Brainliest to teh right answer! Come quick!

Answers

Answer:

x=65

Step-by-step explanation:

145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.

Hope this helps!

!! NEED RN, MARKING BRAINLIST !!
What is the value of x?

Answers

Answer:

5 sqrt(3)

Step-by-step explanation:

Since this is a right triangle

sin theta = opposite side/ hypotenuse

sin 60 = x /10

10 sin 60 = x

10 sqrt(3) /2 =x

5 sqrt(3) =x

Answer:

5√3

Step-by-step explanation:

The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:

sin 60 degrees = opp side / hypotenuse  =  x/10.

Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2  =  5√3  (equal to the third answer choice).

The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.

Answers

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

How to determine the true statement?

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP

Answers

The graph of the absolute value parent function will be V-shaped. Then the correct option is C.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The graph of the absolute value parent function will be V-shaped.

Then the correct option is C.

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ5

Answer:

A,C,D

Step-by-step explanation:

just took the test

A surgical technique is performed on eight patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work.

Answers

Answer:

20.31%

Step-by-step explanation:

a) Construct a binomial distribution.

P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2  and n = 8

b) Find the

mean = np = 8%2A.8+=+6.4

variance = npq = 6.4%2A.2+=+1.28

standard deviation of the probability distribution.sqrt%281.28%29

c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 =  .2936  or 29.36%

d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)

           =  1 - .1678 - .3355 - .2936  = .2031   or 20.31%

HOPE THIS HELPS PLZ MRK BRAINLIEST

1/3 x 1 1/4 as a fraction

Answers

Answer:

11/12

Step-by-step explanation:

1

3

(

11

4

)

=(

1

3

)(

11

4

)

=

(1)(11)

(3)(4)

=

11

12

(Decimal: 0.916667)

PLease mark me brainllest!!!

The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Calculation of the fraction:

Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]

We have to multiply these two in fractions

So,

[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]

Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Learn more about fraction here: https://brainly.com/question/17748421

SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.
a) If you scored 950, what would be your percentile?
b) If you scored 1100, what percent of students scored better than you?
c) If your percentile was 92%, what did you score on the SAT?

Answers

Answer:

My sister is getting ready to prepare, I would say 1100 it means you are above.

Step-by-step explanation:

Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67

Answers

Answer: A. 343.08

Step-by-step explanation:

with the property tax rate and monthly tax payment is what were looking for

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