Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is

Answers

Answer 1

Answer:

[tex]y=-5x+39[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

[tex]y=mx+b[/tex]

Plug in the slope -5

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in the given point (7,4) and solve for b

[tex]4=-5(7)+b\\4=-35+b[/tex]

Add 35 to both sides to isolate b

[tex]4+35=-35+b+35\\39=b[/tex]

Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+39[/tex]

I hope this helps!


Related Questions

A rectangular swimming pool is 15 meters long, 11 1/2 meters wide, and 1 1/2 meters deep. What is its volume?

Answers

258 3/4 cubic meters

Explanation:
Use this formula for volume of rectangular prism: length x width x height

In this case it would be:
15 • 11 1/2 • 1 1/2 = 258 3/4

VOLUME= 258 3/4 cubic meters

Com.ment me if u have any questions
If my answer is correct, braibliest please!
-SpaceMarsg, have a nice day :DD

Given DC = 27, A F=46, find BC.

Answers

Answer:

23

Step-by-step explanation:

BC is parallel to AtoF

BC = (1/2)AtoF

BC = (1/2)46

BC = 23

The length of side BC will be 23. Option C is corect.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

help this is for Plato

Answers

Answer:

-5 + 3i √3

Step-by-step explanation:

Here, we want to get the value of uv

we have this as follows;

1( 1 + 2i √3) + i √3( 1 + 2i √3) ( i is same as square root of -1, so two roots of this will give the number we are looking for

= 1 + 2i √3 + i √3 + (2i)(i)(3)

= 1 + 3i √3 - 6

= 3i√ 3 -5

QUESTION 3 3.1.1 If y= 2x2 - 1. What is the value of y when x = -2?​

Answers

Answer:

7

Step-by-step explanation:

answer is in photo above

No spaces in your answer boxes.
If x is our variable, write an algebraic expression for the following statement.

"the number of cents in 'x' dimes"

Answers

Answer:

Number of Cents = 10x

Step-by-step explanation:

Since w

Since we know that there are 10 cents in a dime, the amount of cents in an unknown quantity of dimes is 10 * the number of dimes.

Therefore the number of cents in x dimes is 10x

For the function F defined by F(x) = x2 – 2x + 4, find F(| – 4|)
A. 28
B. 12
C. 8
D.4

Answers

The correct answer is c

write the time on the digital watch in words 21:02​

Answers

It is two minutes past nine

15 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when

Answers

You didn't specify what the question was. However, I am going to assume you are looking for the missing side of the shape.

Let's call the left side "Side A" and the right side "Side B". One is longer than the other side. In this case, Side B is longer than Side A. To find the missing length, you will need to subtract Side A from Side B

Side B - Side A = Missing side

16 - 13 = 3

Therefore, the length of the missing side is 3.

If PQ = 15 and QR = 13, what is PR? Write your answer as a decimal or integer.​

Answers

Answer:

28

Step-by-step explanation:

Please answer these graph questions for the following! (✿◡‿◡)

a) how far did he go before stopping?
b) which part of the journey is the traveling the fastest a, b, c, or d?
c)what was his speed on the last section of his journey (d)?

Answers

Answer:

60

a

30

Step-by-step explanation:

I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie


7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)
by logarithm laws

Answers

Answer:

1.5871

Step-by-step explanation:

According to the Question,

we have, 7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)

The Solution, With Basic Properties of Log.

7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25

7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979

on Solving, We get

1.5871

Can someone give me the answer ?!?

Answers

Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

[tex]\sqrt{75x^{7} }[/tex] simplified

Answers

Answer:

Step-by-step explanation:

Prime factorize 75

[tex]\sqrt{75x^{7}}=\sqrt{5*5*3* x * x * x * x * x * x *x}\\\\ =5*x *x *x \sqrt{3x}\\\\= 5x^{3}\sqrt{3x}[/tex]

Can’t find an answer anywhere pls help <3

Answers

Step-by-step explanation:

Consider the expression below:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]

Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]

By inspection, we can see that

a = -3 and b = 5

Answer:

[tex]a = - 3[/tex]

[tex]b = 5[/tex]

Step-by-step explanation:

Objective: Knowldge of Rationalizing Rational Functions.

Complete the LHS to find a and b.

Given

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]

Rationalize the LHS.

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]

You'll get

[tex] = 5 \sqrt{2} - 3[/tex]

Flip is equation around.

[tex] - 3 + 5 \sqrt{2} [/tex]

This means that a equal -3 and b equal 5.

Please help me kitty

Answers

Answer:

Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.

Answer:

Hi how are you will u friendship with me plz

The lines below are parallel.if the slope of the green line is -2, what is the slope of the red line?

Answers

Answer:

-2

Step-by-step explanation:

If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.

a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.​

Answers

Answer:

i) 2:1

ii) 1:3

iii) 5:4

Step-by-step explanation:

i) Male teachers : Female teachers

                      10 : 15-10

                      10 : 5

                       2 : 1

ii) Female teachers : Total teachers

                             5 : 15

                              1 : 3

iii) Do remember that two angles are called complementary if their measures add to 90 degrees.

Hence, ration of the pair of complementary angles = 50 : 90-50

                                                                                     = 50 : 40

                                                                                     = 5 : 4

Answer:

Step-by-step explanation:

Total number of teachers = 15

Given number of male teachers = 10

Therefore number of female teachers = 15 - 10 = 5

i)

Ratio of male and female teachers

                                           [tex]\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1[/tex]

ii)

Ratio of female teachers and total number of teachers

                                             [tex]\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3[/tex]

iii)

If x and  y are complementary angles, then x+ y = 90°

Given : one angle, x  = 50°

Therefore, 50° + y = 90°

                        y = 90 - 50 = 40°

Ratio of the pair of complementary angles

[tex]\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4[/tex]

PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY

Answers

Answer:

Growth

Step-by-step explanation:

When x value increase, y value also increase, So growth.

When x = 1   ;f(1) = 2

When x = 2  ; f(2) = 2² = 4

When x = 3  ; f(3) = 2³ = 8

Answer:

Exponential Growth

Step-by-step explanation:

I found this photo that helps differentiate both growth and decay :)

I hope this helps! :)

Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p

Answers

Answer:

Value of p is 3

Step-by-step explanation:

One of the root is 1.

So, putting 1 in the place of x in the given equation,

px²-4x+3p-8=0

or, p-4+3p-8=0

or, 4p-12=0

or, 4p=12

or, p=3

Answered by GAUTHMATH

892.8571428571429 to the nearest whole number

Answers

Answer:

893

Step-by-step explanation:

To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.

Hope this helps.

Hey!!

[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]

They are those that do not have numbers after the point that are not zero

Answer:

The closest number is 893

Att- Brook2007s

Saludos ten lindo día uwu

can somebody help me with this​

Answers

Answer:

If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1

9/a = -1

a = -9

Answer:

-9

Step-by-step explanation:

flip and change the sign of [tex]\frac{3}{4}[/tex]

[tex]\frac{4}{-3}[/tex]

set equal to each other

[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]

cross multiply

4a = -36

divide by 4

a = -9

What is the value of x in the equation 5x−6=−36?

Answers

Answer:

5x−6=−36

5x=-30

X=-6

5*(-6)-6=-36

-30-6=-36

-36=-36

Your Welcome

BIFFY OUT!!!

Answer:

x=(-6)

Step-by-step explanation:

So first do the inverse operation.

5x-6=(-36)=5x+(-6)=-36

Subtract the constant

-36-(-6)=-36+6=-30

5x=(-30)

x=-6

I need help. ASAP. PLEASE.


Ok, so I got this formula from another answer and want someone to help me in explaining how they got to this formula. I understand where they got the constant from, where they got the a-value, but I don't understand where they got b = 2. Please help. We're dealing with a quadratic function here, in which the rate of change is generally -0.2. Thank you to anyone who responds.

Answers

You haven’t supplied enough information to help you. The original question would have helped.

What type of transformation does shape A undergo to form shape B?

Answers

Answer:

Rotated 90° counterclockwise, then reflected across the y-axis

Step-by-step explanation:

Find the length of the hypotenuse to the nearest tenth (example 4.5)
6
co
2

Answers

Answer:

hypotenuse = 6.3

Step-by-step explanation:

here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)

using pythagoras theorem

a^2 + b^2 = c^2

6^2 + 2^2 = c^2

36 + 4 = c^2

40 = c^2

[tex]\sqrt{40}[/tex] = c

6.32 = c

6.3 = c

A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.​

Answers

Because some of the athletes participated in more than one event.

If the events have the same theoretical probability of happening, then they are called​

Answers

Answer:

if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space

Suppose 0 is an angle in the first quadrant and cos(0) = 1 What is the value of sin(0)?

Answers

Answer:

Step-by-step explanation:

I'm going to use a Pythagorean identity to help make this make sense.

[tex]sin^2\theta+cos^2\theta=1[/tex]

We are given that cos(0) = 1, so

cos²θ = 1² which simplifies to

cos²θ = 1. So filling into our trig identity:

sin²θ + 1 = 1 and

sin²θ = 0 then

sinθ = √0 so

sinθ = 0

[tex]sin^{-1}\theta=0[/tex] so

sin(0) = 0

10.)A child-sized swimming pool can be modeled by a cylinder. The pool has a diameter of 6 1/2 feet and a height of 12 inches. The pool is filled with water to 2/3 of its height. Determine and state the volume of the water in the pool, to the nearest cubic foot. One cubic foot equals 7.48 gallons of water. Determine and state, to the nearest gallon, the number of gallons of water in the pool.

Answers

Answer:

165.47≈165 Gallons of Water

Step-by-step explanation:

According To the Question,

Given, A child-sized swimming pool can be modeled by a cylinder. The pool has a diameter of 6 1/2 feet (or) 6.5 feet (radius is 3.25 feet) and a height of 12 inches(1 feet).

The pool is filled with water to 2/3 of its height (H= 2/3 feet) .

Volume of Cylinder = π×R²×H , now put values, we get

Volume = 3.14×3.25²×2/3

Volume = 22.122 foot³ .

And, One cubic foot equals 7.48 gallons of water

Thus, 22.122 cubic foot equals to 165.47≈165 gallons of water .

What is the answer of (x+y÷x-y)÷(y+x÷y-x)

Answers

Answer:

[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]

Answer: = -1

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