find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).

Answers

Answer 1

Answer:

  x -2y = -4

Step-by-step explanation:

The slope of the line between points C and D is ...

  m = (y2 -y1)/(x2 -x1)

  m = (7 -13)/(5 -2) = -6/3 = -2

The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -1 = 1/2(x -(-2))

We can rearrange this to standard form.

  2y -2 = x +2 . . . . . multiply by 2

  -4 = x -2y . . . . . . . subtract 2y+2

  x -2y = -4 . . . . . . standard form equation of the desired line

Find The Equation Of The Line That Is Perpendicular To The Given Line And Passes Through The Given Point.

Related Questions

Which list of angle measures could be the angle measures of a triangle?

Answers

Answer:

D. 35, 60, 85

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees.

35+60+85 = 180

The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here

Answers

Answer:

  a) area will be 1/4 of the original

  b) 7 cm²

Step-by-step explanation:

a)

Consider the equation for the area of a trapezoid:

  A = 1/2(b1 +b2)h

Now, halve each of the dimensions:

  A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)

  A' = (1/4)(1/2(b1 +b2)h) = 1/4A

The area is multiplied by the square of the scale factor: (1/2)² = 1/4.

__

b)

The area of the smaller trapezoid will be ...

  A' = 1/4A = (1/4)(28 cm²) = 7 cm²

2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)

Answers

Answer:

2y - 12x = 3

Step-by-step explanation:

gradient of line PQ= (7-8)/ 4+2

-1/6

gradient of perpendicular bisector of line PQ=

-1 ÷ -1/6

-1× -6

6

coordinates of the midpoint of line PQ

(-2+4)/2, (8+7)/2

(1, 15/2)

the perpendicular bisector passes through the midpoint of line PQ

Equation of the perpendicular bisector

y - 15/2 = 6(x - 1)

multiply through by 2

2y - 15 = 12(x - 1)

2y - 15 = 12x - 12

2y - 12x = 3

Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?

Answers

You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.

Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:

8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X

Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.

Learn more about maths in https://brainly.com/question/25989093

Elements that do not belong to a set belong to its

Answers

Answer:

What do you mean for this question?

Step-by-step explanation:

Give specific details

The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?

Answers

Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]BMI = \frac{703w}{h^2}[/tex]

In this problem:

Height of 70 inches, hence [tex]h = 70[/tex].

For a BMI of 20 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]20 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{20 \times 70^2}{703}[/tex]

[tex]w = 139.4[/tex]

For a BMI of 28 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]28 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{28 \times 70^2}{703}[/tex]

[tex]w = 195.2[/tex]

Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

To learn more about the BMI, you can take a look at https://brainly.com/question/24457127

How do you make a mixed fraction and write it out as a improper fraction?

Answers

Answer:

1) Multiply the whole number part by the fraction's denominator.

2) Add that to the numerator.

3) Then write the result on top of the denominator.

Step-by-step explanation:

Hope this helps!

Answer:

Explanation

|

Step-by-step explanation:

you you multiply the whole number by the denominator and then add the numerator to that number.


(3x - 4x - 2 + 3x - 6 = 180
7x – 8 =

Answers

If we collect like terms of the first equation, we can simplify to

2x - 8 = 180

If we add 8 to both sides, we get

2x = 188

And that means x = 94

If we substitute this into the second equation, we get

7(94) - 8 = ?

7 x 94 is equal to 658

658 - 8 = 650

Use the distributive property to write an experssion that is equalent to 10+15x

Answers

Answer:

5(2+3x)

Step-by-step explanation:

5 x 2 = 10

5 x 3x = 15x

10+15x

(PEMDAS)

Answer:

Step-by-step explanation:

im a boy

Order the numbers from least to greatest

Answers

Step-by-step explanation:

(|  |) makes the number opposite

|10|=-10

|-3|=3

|0|=0

|-5.25|=5.25

Least to greatest

|10|, |0|, |3|, |5.25|

Let me know if there's any mistakes

6 divided by x squared​

Answers

Answer:

I think x should be equal to 0.


(g, 6) and (-5, -9)

Slope = 3/2

Answers

Answer:

g=5

Step-by-step explanation:

(-9)-(6) / (-5)-(g) = 3/2

3 x -(g+5) = 2 x -15

g+5=10

g=5

Answer:

g=15

Step-by-step explanation:

we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:

so we get:

-9=3/2(-5)+b

now lets solve for b:

3/2 x -5 = -15/2

-9=-15/2+b

now add the -15/2 on both sides of the eqaution:

b=-33/2

now lets substitute it back in:

y=3/2x-33/2

NOW lol substitute the 6 in to find g:

6=3/2g-33/2

solve from here to get

45/2=3/2g

multiply by 2 on each side

45=3g

divide both sides by 3:

g=15!!!!!!!!!!!!!!

I hope this helped sry it took long lol

Hi guys can u guys help me add 322 + 12

Answers

Answer:

334 is the answer

Step-by-step explanation:

you add them together

Answer:

334 is the right answer

Step-by-step explanation:

please mark me brainliest

Jenny does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 12 hours doing cardiovascular work. She spends at most 7 hours on weight training. Let x denote the time (in hours) that Jenny spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Check the picture below.  Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.

PLEASE HELP ME, ILL GIVE YOU BRAINLIEST

Answers

Answer:

3/2^3=3/8 and (-1/4)^2 = 1/16

Step-by-step explanation:

1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.

2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.

Bidmass working out questions

Answers

Answer:

The answer will be 0

Step-by-step explanation:

Let me know Hope it helps

Genes are sections of DNA that code for a particular trait. Genes are?

Answers

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

help plssssssssssssssssss

Answers

The ANSWER is D. -(3/-2)

Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth

Answers

Answer:

254

Step-by-step explanation:

63.5 ÷ 0.25 =

= 63.5 ÷ 1/4

= 63.5 × 4

= 254

Answer: 254.

After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.

Answers

Answer:

43.86

Step-by-step explanation:

that's da awnserrr

find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19

Answers

Answer:

  2

Step-by-step explanation:

x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...

  m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2

The rate of change is 2.

Answer:2

Step-by-step explanation:

Someone please help me!

Answers

y is 15 and x is 34, i hope that helped

HELP! ( MATH )
WILL GIVE BRAINILEST!

Question:
Graph the solution of the equation.
b – 5 = –8

Answers

Answer:

b = -3 so A is answer

good luck

Answer:

option C is the correct answer

I NEED HELP!!

If f(x) = x 3/2 , then f ' (4) =

A. -6
b. -3
c. 3
d. 6
e. 8

Answers

Answer:

f(x)=x(3/2)

f(4)=4*3/2

6

Help help help help math math

Answers

Answer:

a  is 27354326 b is 13943y and c is 1937x

Step-by-step explanation:

40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all?

Answers

Answer:

dont do anything if im wrong but i thinks its 50 plants

Step-by-step explanation:

E

Solve for X


please help!

Answers

Answer:

x = 4

Step-by-step explanation:

17x+2 = 18x-2

4 = x

good luck

The two lines are parallel.When two lines are parallel and cut by a transversal, then the alternate exterior angles are equal.So, 17x + 2 = 18x - 2or, 18x - 17x = 2 + 2or, x = 4

Answer:

x = 4

Hope you could understand.

If you have any query, feel free to ask.

Select the two pairs of figures that are similar

Answers

It is 3 and 2 good luck

Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
How many bags of seed can she buy? Do not include units in your answer.
Answer here
SUBMIT

Answers

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

She can buy only 5 cuz, 5x5=25 but 5x6=30, 30 is greater than 27

plss help me....... ​

Answers

Answer:

The slope

Step-by-step explanation:

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