write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Answers

Answer 1

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

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

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3


Related Questions

Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

Answer this question please

Answers

Answer:

No correlation

Step-by-step explanation:

There's no discernible trend in the data.

Pythagorean Theorem-Finding the Hypotenuse
Calculate the missing side measurements using a2+b2=c2

Answers

Ummmmmmmmmmmmmmmmmmmmmmmmmm

Help with this would mean a lot 12 points!!

Answers

Answer: I can only solve #3 The asnwer is -1.65x

Step-by-step explanation:

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-X x 5.5 x 0.2 x 1.5.   <---- Calculate the product

and you will get -1.65x

solve for x 2|x|+5=11

Answers

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation:

Write the following as an expression: One-fourth the difference between 2/3 and
1/2 *

Answers

Answer: 1/4-(2/3+1/2)

Step-1/4-by-step explanation:

How to solve this I need it done by tonight please

Answers

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Sam wrote exactly half of his land in his daughter's name and ⅓ of his land in his son's name. He donated the remaining 10 acres to a charity.

1. What fraction of the total plot of land did Sam donate to charity?

Answers

Answer:

he donated 1/6 of the total land to charity

Step-by-step explanation:

1/2 went to daughter

1/3 went to daughter

combined, this equals 5/6 of the total land

this leaves 1/6 to be donated

1/6 as 1/2 to daughter 1/3 to son and remaining to charity

For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?

Answers

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60,  f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [27 - 8] / [60-7]  

                     = 19 / 53

                     = 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Help me ASAP pls! Convert the measurement. Round the nearest hundredth.

Answers

Answer: 252

Step-by-step explanation:

i believe the answer is 6.4

.......................​

Answers

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

Match each expression with its value.

15 ÷12

12 ÷ (-15)

12 ÷ 15

15 ÷ (-12)

-0.8
0.8
-1.25
1.25

Answers

1. 1.25
2. -0.8
3. 0.8
4.-1.25
1. | 1.25
3. | 0.8
4. | -1.25
2. | -0.8

will give brainliest:)

-2x-¼(12x-8)​

Answers

answer

Answer:

here you go

Step-by-step explanation:

-5x+2



Write a story that could represent this math problem.

Answers

Answer:

the answer is 1 and 1 fourth

Find the slope of the line (-2,0) (2,3)

Answers

Answer:

3/4

Step-by-step explanation:

y = {3/4} x + 1.5

The slope of the line passing through the points (-2, 0) and (2, 3) is 3/4.

What is the slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope of the line with points (-2, 0) and (2, 3) is,

Slope(m) = (3 - 0)/(2 + 2) = 3/4.

learn more about lines and slopes here :

https://brainly.com/question/3605446

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solve the inequality -2z-3<5. what is the value of z?

Answers

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

help me please !!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Don't worry I just know, give me Brainliest

An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.

Answers

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

Hi can i pls get some help oh this question pls
its 5x - 2 = -7

Answers

Answer:

x= -1

Step-by-step explanation:

5x1 would be -5 then -5 - 2 would be -7

Answer:

x = -1

Step-by-step explanation:

The key thing to remember is that every operation you do on either side needs to be done on the other.

Let's start by getting rid of that -2  you can do that by adding 2 to both sides of the equals sign:

5x - 2 = -7

5x - 2 + 2 = -7 + 2

5x - 0 = -5

5x = -5

The next step is to get rid of that 5 on the left.  We can do that by dividing both sides by 5:

5x = -5

5x ÷ 5 = -5 ÷ 5

x = -1

And there you have it! x is equal to negative one.

GIVING BRAINLY!!! (for correct answer)

Answers

Answer:

C)3

Step-by-step explanation:

this is according to my test

help me with this please:)​

Answers

9514 1404 393

Answer:

parallel: 5perpendicular: -1/5

Step-by-step explanation:

The equation of the given line is written in "slope-intercept form":

  y = mx + b . . . . . . where m is the slope

Matching this form to the equation you have, you see that ...

  m = 5 . . . the slope of your given line.

__

A parallel line will have the same slope: 5.

__

A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.

A perpendicular line will have a slope of -1/5.

Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water

Answers

Is the question to figure out how many boxes of juice and water he’ll get?

12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?

Answers

Answer:

10 cents

Step-by-step explanation:

Answer:

$0.25 for each egg

$2.5 for each pound of peanuts

$0.5 for each toilet paper roll

$0.35 for each apple

Step-by-step explanation:

3/12=.25

7.50/3=2.5

2/4=.5

3.5/10=.35

Dividing with remainders
Tia is planting her garden with 15 plants. She wants them
planted in equal groups of 4. How many groups of 4 can she
make? How many plants will she have left over?

Answers

Answer:

im not sure but i think 3

Step-by-step explanation:

Find X in this picture. ​

Answers

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.

Answers

Answer:

A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105

B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.

C) Plumber A:  250=100+30(5)       Plumber B:  325=50+55(5)

Plumber A charges less money for working 5 hours.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that,

Two plumbers charge an initial fee and an hourly rate.

The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.

Part A:

From the table, we have (1, 105) and (2, 160)

Now, m=(160-105)/(2-1)

= 55

Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get

105=55(1)+c

c=60

Substitute m=55 and c=60 in y=mx+c, we get

y=55x+60 -----(II)

By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.

Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.

Part C: Substitute x=5 in y=100+30x, we get

y=$250

Substitute x=5 in y=55(5)+60, we get

y=$335

Plumber A charges less money for working 5 hours.

Therefore, plumber A charges more initial fee.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Help Plzzzzzz.........

Answers

Answer:

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

Step-by-step explanation:

The line on the graph passes through the points A (0,6) and B (3,0)

b) Find the gradient of a line perpendicular to AB

First we will find gradient (slope) of AB

The formula used to find Slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=6, x_2=3, y_2=0[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-6}{3-0}\\Slope=\frac{-6}{3}\\Slope=-2[/tex]

So, we get slope: m = -2

Now, the gradient of line perpendicular to AB will be opposite to the slope of AB

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

c) Find the equation of line passing through point A and perpendicular to AB

The equation of line can be found using slope m = [tex]\frac{1}{2}[/tex] and y-intercept b

We need to find y-intercept b:

Using slope m = [tex]\frac{1}{2}[/tex]  and point A (0,6)

y=mx+b

6= [tex]\frac{1}{2}[/tex] (0)+b

6=0+b

b=6

So, y-intercept is b =6

So, Equation of line with slope m = [tex]\frac{1}{2}[/tex]  and y-intercept b =6 is:

[tex]y=mx+b\\y=\frac{1}{2}x+6[/tex]

So, The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

what is 4 × 10^2 in scientific notation?​

Answers

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

in scientific notation 4 × 10^2

can someone help me find the area of this decagon?

Answers

Step-by-step explanation:

the given height is also the radius of the inscribed circle and the formula for the area is S=2r^2*sqrt(5*(5-2sqrt5))=490*tan18 which roughly rounds to 156.8

The sum is rational or irrational number?

Answers

Answer:

a rational number

Step-by-step explanation:

1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:

[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]

2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.

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