Answer:
Mark me as brainlist
Step-by-step explanation:
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
To find equivalent equations, you simply have to simplify both of these :)
a) 5/6(x - 6) + 1/6(3 - x)
Simplify.
5/6x - 5 + 1/2 - 1/6x
Add like terms.
(5/6x - 1/6x) + (-5 + 1/2)
Simplify.
4/6x +(-4.5)
Simplify.
2/3x - 4.5
b) (y + 7)4 + 8 - 5y
Simplify.
4y + 28 + 8 - 5y
Add like terms.
(4y - 5y) + (28 + 8)
Simplify.
-y + 36
~Hope I helped!~
In the given triangle, the verteces are A(-4, 1), B(-6, 5), C(-1, 2).
A refrection across the x-axis will result in A'(-4, -1), B'(-6, -5), C'(-1, -2)
A translation of 1 unit to the right will result in A"(-3, -1), B"(-5, -5), C"(0, -2)
A translation of 1 unit down will result in A"'(-3, -2), B"'(-5, -6), C"'(0, -3) which corresponds to points DEF.
Therefore, the series of transformation required to transform ABC to DEF are <span>a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down.</span>
X=4 is equivalent to -6+2x
