write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form

Answers

Answer 1

Answer:

 5y = -2x + 31

Step-by-step explanation:

Given equation:

      y = [tex]\frac{5}{2} x + 3[/tex]

Coordinate  = (-7,9)

Unknown:

Equation of the line perpendicular  = ?

Solution:

The slope - intercept format of a line is given as;

      y = mx + c

where y and x are the coordinates

           m is the slope

           c is the y-intercept

y = [tex]\frac{5}{2} x + 3[/tex]

 From the given equation; slope is [tex]\frac{5}{2}[/tex]

       

A line perpendicular will have a slope that is negative and the inverse of this;

      slope of perpendicular line  = [tex]-\frac{2}{5}[/tex]

Since y= 9 and x = -7;

  So;

            9 = [tex]\frac{-2}{5} x (-7)[/tex] + C

            9 = [tex]\frac{14}{5}[/tex] + C

           C  = 9 - [tex]\frac{14}{5}[/tex]   = [tex]\frac{31}{5}[/tex]

Now,

       y  =  [tex]-\frac{2}{5}[/tex]x +  [tex]\frac{31}{5}[/tex]

mulitply through by 5;

     5y = -2x + 31


Related Questions

Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _

Answers

the answer is number 1

In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.

Answers

Answer:

About 30000 men

About 17000 women

Step-by-step explanation:

This question has to deal with approximation.

We have:

[tex]Men = 29867[/tex]

[tex]Women =16928[/tex]

To get the required answer, we have to approximate the given parameters.

For men, we have:

[tex]Men = 29867[/tex]

[tex]Men =30000[/tex]  -- Approximated

For women, we have:

[tex]Women =16928[/tex]

[tex]Women = 17000[/tex] -- Approximated

This implies that about 30000 men and 17000 men received the t shirts

write the segment addition posutlate for the poins described

Answers

Answer:

Segment Addition Postulate:  2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Step-by-step explanation:

Answer: Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

hope this helped you kiddo.

Step-by-step explanation:

Jorge read that 0.72 of his favorite cereal
was whole grain wheat. Find what fraction
of his cereal is whole grain wheat. Write in
simplest form.

Answers

Answer:

72%

Hope this helps

what is this I need help−4(8k+5)−5(9k+4)

Answers

Answer:

-77k - 40

Step-by-step explanation:

-4(8k + 5) - 5(9k + 4)

~Distribute both sides

-32k - 20 - 45k - 20

~Combine like terms

-77k - 40

Best of Luck!

Answer:

-77k-40

Step-by-step explanation:

Distribute:

-32k-20-45k-20

Combine like terms

-77k-40

Which of the following expressions is equivalent to 30 + 40?

A. 5(25 + 35)


B. 10(3 + 4)


C. 15(2 + 3)


D. 5(6 + 8)

Answers

The answer is B 10(3+4) since 10 times 3 is 30 and 10 times 4 is 40 and this is 30+40

Answer:D. 5(6+8)

Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40

enter the number of complex zeros for the polynomial function in the box
f(x)=x^3-96x^2+400

Answers

Answer: Your answer would be 3

What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns

Answers

Answer:

D. Look for patterns

Step-by-step explanation:

To solve :

Assume number of apples bought = x

Fraction kept = 1/3 of x

Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2

Total number shared = 4 * 2 = 8

Fraction shared = total shared

2x/3 = 8

Multiply both sides by 3

(2x/3) * 3 = 8 * 3

2x = 24

x = 12

Hence, Anne-Marie purchased 12 apples

5x999 dghdiuhfuidfuewyf

Answers

Answer:

5x999 urfiwbyginwgf fjkwfg8

Step-by-step explanation:

you take the 5 by x by 999 and kvbbci then you are supposed to uibjouwfbc by owihefojw and oiwhjwnfwfb

Answer:

4995

Step-by-step explanation:

Because

999

x    5

4995

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Solve x^2 - 16x = -12 by completing the steps.
First, subtract ____ from each side of the equation.

Answers

Answer:

You would subtract -12 from both sides!

Explanation:

The eqaution will become like this:

[tex]x^{2}[/tex] - 16x + 12 = 0

Then you would solve it with the Quadratic Equation formula.

Answer:

First, subtract 60 from each side of the equation.

Next, add 64 to each side of the equation to complete the square.

Now, write x² - 16x + 64 = -8 as (x-8)^2=-8

Take the square root of both sides to get the solutions.

8+-2=[tex]\sqrt{2i}[/tex]

Step-by-step explanation:

Malik has $575 in the bank and each week he withdraws $25 out of his
account. How much money will he have after 8 weeks?

Answers

Answer:

375$

Step-by-step explanation:

25*8 is 200, 575-200 is 375

PLEASE ANSWER THIS FAST I'M TIMED!!!

Read this excerpt from When Birds Get Flu and Cows Go Mad! How Safe Are We?.

Getz, David. Purple Death: The Mysterious Flu of 1918. New York: Henry Holt, 2000.
This resource would help a reader better understand

the flu epidemic of 1918.
causes of the avian flu.
virus outbreaks around the world.
disease causing viruses.

Answers

Answer:

a, the flu epidemic of 1918

Step-by-step explanation:

cause when its called "The Mysterious Flu of 1918"

its not gonna be about causes of the avian flu, virus outbreaks around the world, or disease causing viruses.

Answer:

the answer

Step-by-step explanation:

11. Graph the function. Label the vertex and axis of symmetry. State the domain
and range. Then describe where the function is increasing and decreasing. *
f(x) = 2(x - 1)(x – 3)

Answers

Answer:

x2 is the answer

Step-by-step explanation:

i found out by seeing those numbers in the numerial order.

could I get awnsers asap, it’s due tomorrow!!! please and thank you! :))

Answers

The first one would be 13x+12y

please help brainliest and 50 points for whoever answers all of these first

Answers

Answer:

my laptop doesnt let me download pdf :/

ZA is a supplement of 2B. ZA is a complement of LC, and m2B= 124. Thus,
m2B + m2
degrees.

Answers

Can’t get the answer what is m2?

Find the value of X. Then find the measure of each labeled angle.​

Answers

Answer:

x=118, top right angle is 118, bottom right is 62, bottom left is 90, and top left is 90

Step-by-step explanation:

1. since a quadrilateral's andles sum up to 360, these must sum up to 360

2. since the two sides (top and bottom) are parallel, the bottom left and top left angles add up to 180 (it's a conjecture)

3. this means that (x-56) + x+ 90 + (180-90)=360

4. simplify: 2x + 124 = 360

5. solve: x= 118

6. this means top right angle is 118, bottom right is 62, bottom left is 90, and top left is 180-90=90

the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)

Answers

It would be 3,321. 2040 times 1.35 equals 3,321.

An appliance store decreases the price of a 19-in television set 25% to a sale price of $482.63. What is the original price?

Answers

603.28 That should be the price

Solve each system by elimination: -6x-y=-17 -2x-3y=-3

Answers

Answer:

(3, -1)

Step-by-step explanation:

Multiply the 2nd equation (-2x-3y=-3) times -3 to eliminate x

Subtract/add the other terms -y + 9y and -17 + 9

Then divide 8y = 8

y= -1

Substitute y in the other equation

x = 3

(3, -1)

Answer:

Point Form: ( 3 , − 1 )

Equation Form: x = 3 , y = − 1

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Solve for x.
3x + 9
X=

Answers

The answer is X= -3

Answer:

I think the answer may be 30....But that's only a random guess

Plsss lemme know the real answer in the comments

Step-by-step explanation:

A 50 mile trip uses 2 gallons of gas. How much gas would you use on a 125 mile trip?

Answers

Answer:

5o mile trip=2 gallon

50÷2=25

1 mile trip=25

so 125÷25=5

5 gallon of gas use

Help fast Does the equation below represent a relation, a
function, both a relation and a function, or neither a
relation nor a function?
Sy = 2 - 92

Answers

it's both a function and relation a function because it has independent variable and dependent variable and it's a relation because there is a relationship between the values

LM= x+32 LN=3x-10 find MN

Answers

Answer:

32+(-10)

Step-by-step explanation:

i beleive thats what it is

Solve for z.

Pls pls pls

Answers

Step-by-step explanation:

please follow me I follow you back

Answer:

The answer is 52 degrees

Step-by-step explanation:

This is because the angle below is a right angle. So rightangles equal 90 degress and we were given 38 degress in that quadrant so all we had to do was subtract 38 from 90 and that is your answer. I hope this helps!

Calculate the rise and run to find the she slope a line

Answers

Answer:

slope = 3

Step-by-step explanation:

rise/run = 6/2 = 3

the answer to the question is 3

Ollie has $145 in her savings account. She wants to save an additional $35 per week until she reaches $500. Identify the rate of change.

Answers

Answer: $75

Step-by-step explanation:

The temperature in Fairbanks, Alaska, changed from 0F at 6 pm to 4F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees . Which number line represents the temperature at 5 am

Answers

I think in order to answer we have to the options

The number line extending towards -2 represents the correct number line.

What is number line?

A line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Given is the temperature in Fairbanks, Alaska, changed from 0 F at 6 pm to 4 F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees.

Between 6 pm and 11 pm : 4 - 0 = 4 F

The temperature at 5 AM would be : 4 F - 6 F = - 2 F

Therefore, the number line extending towards -2 represents the correct number line.

To solve more questions on number lines, visit the link below -

brainly.com/question/13425491

#SPJ5

What is A-1?
-3 -2
4 8

Answers

can I see a picture of it

Express two and forty five hundredths as a decima

Answers

Answer:

2.45

Step-by-step explanation:

"Two and forty five hundredths"

"Two" will be the number '2'.

"and" will indicate the decimal.

"forty five hundredths" is '.45'.

Two and forty five hundredths as a decimal would be '2.45'.

Hope this helps.

Answer:

2.45

Step-by-step explanation:

2/1 + 45/100 = 2 + 0.45 = 2.45

or

2.00

+ 0.45

-----------

2.45

or

200/100+45/100=245/100=2.45

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