D.
Kelly got 3^3 (27) while Alia got 4^2 (16) less than her. When you put it together you get 3^3 - 4^2
Answer:
3 − m = −2 (m + 6); m = −15 Yes
5 (p + 3) = −35; p = −4 No
8q = 3 (10 + q); q = 6 Yes
Step-by-step explanation:
3 − m = −2 (m + 6)
3 - m = -2m - 12
m = -15
Answer is Yes
5 (p + 3) = −35
5p + 15 = -35
5p = - 50
p = -10
Answer is No
8q = 3 (10 + q)
8q = 30 + 3q
5q = 30
q = 6
Answer is Yes
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
Answer:
-7/30
Step-by-step explanation:
So you need to make the denominators the same number so that you can just subtract the numerators.
(10) 2/3 - (3) 9/10
20/30 - 27/30
-7/30
