Answer:
(x^2 + 2x - 21) sq units
Step-by-step explanation:
Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle
Area of the larger region = x(x+2)
Area of the larger region =x^2 + 2x
Area of the smaller rectangle = 3 * 7
Area of the smaller rectangle = 21 sq. units
Area of the shaded region = x^2 + 2x - 21
Hence the required expression is (x^2 + 2x - 21) sq units
Answer:
y = -1/4x + 4
Step-by-step explanation:
(8,2) and (-4, 5)
Slope = (5 - 2)/(-4 - 8)
= 3/-12 = -1/4
Point (8,2)
b = 2 - (- 1/4)(8)
b 2+ 2 = 4
Answer:
1) given
2) given
3) definition of vertical angles
4) AAS
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
Answer:
Adding 5 from both sides then dividing by 7
Step-by-step explanation:
The best way to isolate x is to add 5 to both sides first:
21 = 7x
Then to isolate x by itself divide both sides by 7
x = 3
That would be the value of x and your final answer.
