The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)
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Width = W
Length = 2 times the width plus 3 feet = 2W + 3
Area of triangle A = L * W
A = W (2W + 3)
20 = 2W^2 + 3W
2W^2 + 3W - 20 = 0
(W + 4) (2W - 5) = 0
W + 4 = 0; W = - 4 (width cannot be negative, excluded)
2W - 5 = 0
2W = 5
W = 2.5
L = 2W + 3 = 2(2.5) + 3 = 8
Answer:
Width = 2.5 feet and Length = 8 feet
Hope it helps.
(13-2x)(13-2x)
(13+-2x)(13+-2x)
(13)(13)+(13)(-2x)+(-2x)(13)+(-2x)(-2x)
169-26x-26x+4x^2
4x^2-52x+169
I hope that's help !
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Answer:
The Area is 99 units², while the perimeter is 40 units
Step-by-step explanation:
Area can be found by multiplying the length of the rectangle by the width of the rectangle. Counting the boxes on the side gives you 11 horizontally and 9 vertically. Multiplying these two gives you an area of 99. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Area is always squared which is why there is a ² after units.
Perimeter can be found by adding all 4 sides together. Counting the boxes gives you 11 + 11 + 9 + 9. This gives you a perimeter of 40. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Perimeter is not squared like area.
2(x - 4) + 7(x + 4)
(2x - 2 • 4) + (7x + 7 • 4)
9x + 20
