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3 years ago

14

Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.

1 answer:

swat323 years ago

7 0

Check the picture below.

notice, is really just an 8x7 rectangle, with a triangle on top, the triangle has a base of 8, and a height of 2.

so, just get the area of the rectangle and the triangle, recall that A = 1/2 bh for a triangle, and sum them up, and that is the area of the polygon.

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What is the midpoint of AB?

Citrus2011 [14]

Answer:

$(-4, -\frac{1}{2})$

Step-by-step explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as $(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

$x_1=-5\\y_1=-4\\x_2=-3\\y_2=3$

Now substitute those values into the formula:

$(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$

$(\frac{-5+ -3}{2}, \frac{-4+ 3}{2})$

Now simplify the numerator and denominator

$(\frac{-8}{2}, \frac{-1}{2})$

Simplify again:

The midpoint is (-4, $-\frac{1}{2}$ )

Hope this helps!

7 0

2 years ago

If B is the midpoint of AC, and AC = 8x – 20,<br> find BC.<br> 3x - 1<br> A<br> B<br> C

sammy [17]

Answer:

x = 9

Step-by-step explanation:

Since B is the midpoint, that means segment AB has to be the same length as BC.

Therefore:

$2(3x-1)=8x-20$

$6x-2=8x-20$

$18=2x$

$9=x$

6 0

3 years ago

Simplify: (3^5)^2 / 3^-2<br><br><br> A) 3^10<br><br> B) 3^9<br><br> C) 3^12<br><br> D) 3^8

ozzi

So the correct answer is C .

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3 years ago

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dalvyx [7]

Answer:

0.79

Step-by-step explanation:

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3 years ago

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natima [27]

Answer:

n=m-18. Please Please Please Mark it as brainlist answer. Please I request to Mark it as brainlist answer..

6 0

2 years ago