All categories

3 years ago

Find the area A of the polygon with the given vertices. A(−6, 1), B(4, 1), C(4,−8), D(−6,−8)

Mathematics

1 answer:

My name is Ann [436]3 years ago

8 0

u must use the formula

so, the answer is 10 units²

You might be interested in

HELP ASAP ...........

dedylja [7]

Answer:

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = $\sqrt{(-2-(-8))^2+(4-(-8))^2}$

= $\sqrt{(-2+8)^2+(4+8)^2}$

= $\sqrt{6^2+12^2}$

= $\sqrt{36+144}$

= $\sqrt{180}$

= $\sqrt{36(5)}$

= $\sqrt{36}$ × $\sqrt{5}$

= 6 $\sqrt{5}$ → A

8 0

3 years ago

The value of a collectable car has been increasing by 4 percent each year. This year the car is valued at $15,200. Write a funct

zloy xaker [14]

Answer:

I think it would be

t(15,200)¹'⁰⁴

I used an apostrophe up there, but it's supposed to be a dot, so to the power of 1.04

5 0

3 years ago

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot

Dahasolnce [82]

Answer:

360

Step-by-step explanation:

T = K(1/H)

Whereas T = seconds

H = cooker setting

K = the constant of proportionality

T = (240/6)/(1/9) = (240/6)x9 = 360

6 0

2 years ago

Are these functions??!!

pashok25 [27]

Answer:

Going from left to right:

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Step-by-step explanation:

Functions cannot have any repeating x-coordinates.

8 0

4 years ago

Read 2 more answers

Jenny is painting a toy chest that she made for her little brother. If the box is 3 feet long, 2 feet wide, and 3 feet tall, wha

statuscvo [17]

Answer:

42 ft squared

Step-by-step explanation:

here is a handy surface area calculator I use:

https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php

3 0

3 years ago