Answer: I am just hoping that this is the correct answer
Step-by-step explanation:
2(-6 + -5y) + (2y + -8) = 0
(-6 * 2 + -5y * 2) + (2y + -8) = 0
(-12 + -10y) + (2y + -8) = 0
Reorder the terms:
-12 + -10y + (-8 + 2y) = 0
Remove parenthesis around (-8 + 2y)
-12 + -10y + -8 + 2y = 0
Reorder the terms:
-12 + -8 + -10y + 2y = 0
Combine like terms: -12 + -8 = -20
-20 + -10y + 2y = 0
Combine like terms: -10y + 2y = -8y
-20 + -8y = 0
Solving
-20 + -8y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + -8y = 0 + 20
Combine like terms: -20 + 20 = 0
0 + -8y = 0 + 20
-8y = 0 + 20
Combine like terms: 0 + 20 = 20
-8y = 20
Divide each side by '-8'.
y = -2.5
Simplifying
y = -2.5
Answer:
D
Step-by-step explanation:
The diagram is composed of one large right triangle and inside it it's divided into 2 small right triangles. Since these triangles all have the same shape but not the same size, they are similar triangles. Using similar triangles, create a proportion of side lengths. A proportion is an equation with equal ratios from the large triangle to a small. Notice the large triangle has a hypotenuse of 6+7 = 13 and a leg of x. The small triangle has a hypotenuse of x and a leg of 7.


To solve for x, cross multiply the numerator with the denominator.

The length of rectangular swimming pool = 25 feet
The width of the swimming pool = 12 feet
The pool is surrounded by a fence which is h feet from each side
So, length of fence becomes = 25+2h
Width of fence becomes = 12+2h
The expression for the length of the fence is 25+2h feet
2h because 'h' increases for both ends of the length of the pool.
Answer:
41
Step-by-step explanation:
= B', c'= 41 units so B, C also equals 41 units.
In conclusion, BC=41BC=41B, C, equals, 41 units.