4 years ago

Find the value of y.

Mathematics

1 answer:

stepladder [879]4 years ago

5 0

Answer:

Step-by-step explanation:

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Pleasee help ASAP!! No links pleaseee!!!

Ilya [14]

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(2-0)^2+(4-1)^2}$

$AB=\sqrt{(2)^2+(3)^2}$

$AB=\sqrt{4+9}$

$AB=\sqrt{13}$

Similarly,

$BC=\sqrt{(6-2)^2+(0-4)^2}$

$BC=\sqrt{(4)^2+(-4)^2}$

$BC=\sqrt{16+16}$

$BC=\sqrt{32}$

$BC=4\sqrt{2}$

Now, the length of the rectangle is $AB=\sqrt{13}$ and the width of the rectangle is $BC=4\sqrt{2}$ . So, the area of the rectangle is:

$A=length \times width$

$A=\sqrt{13}\times 4\sqrt{2}$

$A=4\sqrt{26}$

$A\approx 20$

Therefore, the area of the rectangle is 20 square units.

3 0

3 years ago

Can anyone help me with this

ss7ja [257]

Answer:

Step-by-step explanation:

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3 years ago

What is the solution to 4+ 2x=4

Ivenika [448]

Answer:

Step-by-step explanation:

7 0

3 years ago

Please help i know this is not that hard but i have this and one other thing due in a few minutes and i can't get them both in o

HACTEHA [7]

Answer:

0.2350 x 180 = 42.30

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

-4y>2x+4 What is the slope of this

vovikov84 [41]

Answer: -1/2

Explanation: -4y > 2x + 4; isolate the y by dividing both sides by -4 and get:
y = -2/4x + 4; simplify
y = -1/2x + 4

In y = mx + b; m is the slope

In this case, -1/2 is the slope

6 0

3 years ago