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3 years ago

21. Write the equation of the line that is

Mathematics

1 answer:

vekshin13 years ago

4 0

When a line is given in the form

$y=mx+q$

The slope of the line is m. So, in this case, the slope of $y=-x-11$ is -1.

Given a slope $m$ , you find the slope of a perpendicular line $m'$ by imposing

$m\cdot m' = -1$

So, if the given line has slope -1, a perpendicular line has slope $m'$ given by

$-1 \cdot m' = -1$

and thus $m'=1$

So, we want a line with slope 1 and passing through (9,2). Using the fomula

$y-y_0=m(x-x_0)$

we get

$y-2=1(x-9) \iff y-2=x-9 \iff y=x-7$

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the student council published the results of the survey about The new school mascot. Jesse spilled water on the paper, but he kn

DiKsa [7]

I think it is 38% I pretty sure

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2 years ago

Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many

Mumz [18]

Answer:

Step-by-step explanation:

The assumed frequency of defects is 2/16.

When we apply this rate to 24, (2/16)*24, we get 3.

Therefore, we can assume around 3 defective boxes tomorrow.

7 0

2 years ago

Read 2 more answers

everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a

Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

The perimeter of the rectangular playground is equal to

$P=2(L+W)$

we have

$L=320\ m\\W=163\ m$

substitute

$P=2(320+163)$

$P=966\ m$

3 0

2 years ago

pleeeeeeeeeeeease hellllllllp meeeeeee the circle has a center of 0.its raduis is 3 cm,and the central angle A measures 100.what

Vsevolod [243]

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2 Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2 Expand

Area = (5 / 18) * pi * 9 Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

7 0

2 years ago

Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars

MArishka [77]

Answer:

$Total = \$5.94$ ---- in dollars

$Total = 594\ cents$ ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$0.76$ per pound

Grapes

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$1.40$ per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

$Total_{Pears} = 2\frac{3}{4} * \$0.76$

Convert fraction to decimal

$Total_{Pears} = 2.75 * \$0.76$

$Total_{Pears} = \$2.09$

For Grapes

$Total_{Grapes} = 2\frac{3}{4} * \$1.40$

Convert fraction to decimal

$Total_{Grapes} = 2.75 * \$1.40$

$Total_{Grapes} = \$3.85$

Next, we add both amounts together to get the total amount spent in dollars.

$Total = Total_{Pears} + Total_{Grapes}$

$Total = \$2.09 + \$3.85$

$Total = \$5.94$

Multiply by 100 to convert this amount to cents

$Total = 5.94 * 100\ cents$

$Total = 594\ cents$

And it can be represented as dollars and cents as:

5 dollars 94 cents

8 0

2 years ago