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Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and

mezya [45]

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²

3 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME!!!!!

Ivenika [448]

Area yellow =11 x 6
= 66
red area = 7 x 2
=14
area of yellow
66 - 14 = 52

7 0

3 years ago

An arc subtends a central angle measuring \dfrac{\pi}{2}

Agata [3.3K]

Arc Length is 1/4th of the circumference .

<u>Step-by-step explanation:</u>

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring $\dfrac{\pi}{2}$ radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ $Arc = \frac{Angle}{360}(2\pi r)$

⇒ $Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)$

⇒ $Arc = \frac{90}{360}(2\pi r)$

⇒ $Arc = \frac{90}{90(4)}(2\pi r)$

⇒ $Arc = \frac{1}{4}(2\pi r)$

⇒ $Arc = \frac{1}{4}(Circumference)$

Therefore , Arc Length is 1/4th of the circumference .

4 0

2 years ago

The total amount spent by some number of people on clothing and footwear In the years 2000-2009 can be modeled by the quadratic

FinnZ [79.3K]

For this problem, we are given a quadratic equation that models the total amount spent on clothing and footwear in the years 2000-2009. We need to use the model to determine the maximum amount spent during the period.

The equation is shown below:

$f(x)=-4.462x^2+71.54x+97.44$

Since the leading term is negative, the vertex of this function will represent an absolute maximum value. Therefore we can determine the vertex to answer the problem, the vertex's coordinates are given below: