From the given vertices, the area of the polygon is 28.
<h3>Rectangles</h3>
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).
The area of a rectangle is given by the multiplication between the base and the height.
First, you should plot the points, then see image 1.
From the figure, it is possible to see that the bases ( AB and CD) = 5-3=2
and heights (AC and BD) =-7-(-7)=7+7=14. Thus,
A= B*H= 2*14=28
Read more about the area of the rectangle here:
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The first 5 terms of the arithmetic sequence with first term -10 and common difference -12 are ...
-10, -22, -34, -46, -58
Answer:
utv = 24° wtx=113°
Step-by-step explanation:
I solved in the picture
hope this helps ^-^
Answer:
You need to get x by itself
(x = 1)
Step-by-step explanation:
1. Expand.
-12x - 3 - 8x = - 16 - 7x
2. Simplify
-20x - 3 = -16 - 7x
3. Add 20x to both sides.
-3 = -16 -7x + 20x
4. Simplify.
-3 = -16 + 13x
5. Regroup terms.
-3 = 13x - 16
6. Add 16 to both sides.
-3 + 16 = 13x
7. Simplify.
13 = 13x
8. Divide both sides by 13.
1 = x
9. Switch sides
x = 1
Answer:
x³ - 12x² + 43x - 40
Step-by-step explanation:
f(x) × g(x)
= (x - 5)(x² - 7x + 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis
= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms
= x³ - 12x² + 43x - 40