Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4).
A y = 5x + 6
B y= 1/5x + 4/5
C y= -5x + 4
D y= -1/5x +4/5

Answers

Answer 1
Good luck to you! Ask if you have any questions.
Calculate The Equation Of The Line Through The Points (-1, 1), (4.0), And (24,-4).A Y = 5x + 6B Y= 1/5x
Answer 2

Answer:

D

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line

m = [tex]\frac{-4-1}{24+1}[/tex] = [tex]\frac{-5}{25}[/tex] = - [tex]\frac{1}{5}[/tex] , then

y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

To find c substitute any of the 3 points into the partial equation

Using (4, 0 ) , then

0 = - [tex]\frac{4}{5}[/tex] + c ⇒ c = 0 + [tex]\frac{4}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = - [tex]\frac{1}{5}[/tex] x + [tex]\frac{4}{5}[/tex] → D


Related Questions

PLS HELP ASAP!!!! Who had Enlightenment principles that Thomas Jefferson built upon when he drafted the Declaration of Independence?


John Locke



George Washington



King George III


John Adams

Answers

pretty sure it was john locke

90 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?

Answers

Answer:

10

Step-by-step explanation:

Usually you need more data to be sure but based on those two points it would be 10cm every 3 years.

here is an example jy26903

Answers

Answer:

I meant an example for a problem like the one you posted.

Either way, I'll try to help.

in the example, you're finding out what percentage of 352 is 226.6.

So divide 226.6 (The number that you're using to find what percentage it is of 352) by 352( the number you're finding the percentage of.)

226.6/352= 0.64375, and multiply the quotient by 100 to get 64.375. You're rounding up by the nearest hundredth, so the 7 turns to 8. (5 or more means rounding up.)

your final answer for the example is 64.38%. So Try that with your next problem.

For the one you're working on, divide 110.9 by 100 and then multiply it by 419.

You'll get 464.671.

How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.

Answers

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

is this relationship proportional why or why not?

Answers

Answer:

no

Step-by-step explanation:

to be proportional, every step of 1 in the upper row, must equal an equal step in the lower row.

from 1 to 2: +15

from 2 to 3: +18

not the same so not proportional

-0.8(q - 0.5)= - 2.6 what is a

Answers

Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

AC =
Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 1.88 using cosine =adj/hyp

If p = 15, what is p ÷ 5 - 2?

Answers

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer


4.32 + b = 19
b = ?

Quick guys my grade are dropping I need help!

Answers

Answer:

14.68

Step-by-step explanation:

4.32 + b = 19

Solve for b.

_____________

To solve, we need to get b by itself.

4.32 + b = 19

Subtract 4.32 from both sides :

b = 14.68

The answer is 14.68 trust me

Matt has 3 different colored T-shirts and 2 different colored shorts

How many outfits can Matt make with these clothes?

Answers

Answer:

Step-by-step explanation:

3 x 2 = 6

Matt can make 6 different outfits with these clothes.

What are the Combinations?

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Given that Matt has 3 different colored T-shirts and 2 different colored shorts.

Matt can make 3 x 2 = 6 different outfits with these clothes.

This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.

So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.

Learn more about permutation here:

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does anyone know how to do this? will give brainiest

Answers

Answer:

x = 22, and im rlly sry, i dont know how to solve for y...im sry...

Step-by-step explanation:

180 - 55 = 125 degrees

so

6x - 7 = 125

     +7     +7

6x = 132

divide by 6

x = 22

A plant is 3 inches tall when you purchase it and grows 2 inches per month. Write an equation in slope intercept form that represents the height y(in inches) of the plant after x months.

Answers

Answer:

y = 3 + 2x

Step-by-step explanation:

In this scenario, we are given two values which are the initial height of the plant and its growth height. Then we are given a variable which is the number of months (x) that are unknown for us. The growth height needs to be multiplied by the number of months to know how much it has grown in that time period. Then we add this value to the initial height of the plant to calculate the total height (y) of the plant after x number of months. We can apply this information to form the following equation in slope-intercept form.

y = 3 + 2x

Jane sold a house for $160,000 that she listed. Her broker charges a % commission and she receives 60% of the commission. How much did Jane receive?

Answers

Jane gets 5,760.

What is commission?

Commissions are a form of variable-pay remuneration for services rendered or products sold.

Given:

House sold for $160,000 with a listing commission of 6%

So, full commission

=160,000*0.06

= 9, 600

And, jane's share will be

=9600 * 0.60

=5,760

Hence, jane's share will be 5,760.

Learn more about this concept here:

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How to solve the equation: -2(-3x-4)=14​

Answers

Answer:

1

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1

10f – 10 and 2(8f – 5 Is it equivalent

Answers

Answer: no

plz give brainleist

Step-by-step explanation:

let f be 2 10 x 2 - 10=10

2 x 8x2-5=22

Answer:

These two expressions are only equivalent when f=-5/6. If f=><-5/6, then the equations are not equivalent.

Step-by-step explanation:

Find side x, giving your answer to 1 decimal place.
810
7 cm
40°
Х

Answers

Answer:

10.8

Step-by-step explanation:

By sine rule:

[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]

Using the tangent formula we can write as,

Tan 40° = 7 / x

Tan 40 = 0.84

The value of x is 8.3 cm

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.

Using the tangent formula we can write as,

Tan 40° = 7 / x _____(1)

Now,

Tan 40 = 0.84

From (1) we get,

0.84 = 7 / x

x = 7 / 0.84

x = 8.3 cm

Thus,

The value of x is 8.3 cm

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Your grandparents started a savings account with $10,000 the day you were born. It earns 5% annually compounded monthly. How much will you have when you turn 18?

Answers

Answer: You will have $24,551.84 when you turn 18.

Step-by-step explanation:

Formula for accumulated amount earned in t years:

[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P = principal value, r = rate of interest

Given: P= $10000, r = 5% t = 18 years.

Substitute all values in formula, we get

[tex]A=10000(1+\dfrac{0.05}{12})^{12\times18}\\\\=10000(1.004167)^{216}\\\\=10000(2.45518445623)\approx24551.84[/tex]

Hence,  you will have $24,551.84 when you turn 18.

helps fast plzzzzzzzzz

Answers

Answer:

I believe it would be the third option; 5k = 90

Please let me know if I'm incorrect.

Answer:

5k - 90, is the answer

Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3

Answers

Answer:

[tex]a = 3[/tex]

[tex]b = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

[tex]f(x) = ab^x[/tex]

When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]

We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]

if x = 7, then 7 = x is an example of which property

Answers

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

68 less than 55 times a number is equal to the number(x). Please can someone tell me the value of the number(x)?

Answers

Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

solve this problem plss
-2 x < 12

Answers

Answer:

x<14

Step-by-step explanation:

In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter

Answers

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation

Answers

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

1 poi
1. Evaluate 24 + -5y, when y = 2. Work the problem out on your paper and
put only the number in the blank. *
Your ancier

Answers

Answer:

14

Step-by-step explanation:

substitute 2 for y

multiply

subtract

yay

Plz, Solveeeeeeeeeeeeeeeeeeee! I will give you all my points

Answers

1/2bh
1/2b4 = 18
b4= 36
b= 9 yards

How do you write 9/10 as a percentage

Answers

#To make a fraction into percentage, the easy way is to times the fraction with 100

The percentage of 9/10

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%

Answer : 90%

a person got 10percent increase in his salary . If his salary was Rs50000 then find increase in salary

Answers

Answer:

10 over 100 multiply by Rs 50000 over 1

.: cut 2 zeros ( 0 ) from 100 and cut 2 ( zeros ) from Rs 50000

.: 10 over 1 by Rs 500 over 1

.: 10 multiply RS 500 = 5 000

His / her increment = RS 5 000

y = -3x + 1
4x + y = 3
Eions?
What is the solution to the system of equations

Answers

Answer:

(2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 1 → (1)

4x + y = 3 → (2)

Substitute y = - 3x + 1 into (2)

4x - 3x + 1 = 3

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = - 3(2) + 1 = - 6 + 1 = - 5

solution is (2, - 5 )

Question 2 of 10
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x + 5y = 2
5x - 3y = 21

Answers

Answer:

(3 , -2)

Step-by-step explanation:

4   5   2                        5  -3   21                      1  -8   19  -> * -4

5  -3    21  -> switch     4   5   2   -> * -1   ->      4   5   2              ->

1    -8    19                  -> 1     0     3                          1     0     3

0  37   -74   -> *8/37      0  37   -74   -> * 1/37   ->   0    1     -2

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