Answer:
65
Step-by-step explanation:
skip count by 8
It depends on the systems of equations. I would stay away from elimination, go for substitution and graph only if asked.
Evaluate abs(-4 b - 8) + abs(-b^2 - 1) + 2 b^3 where b = -2:
abs(-4 b - 8) + abs(-b^2 - 1) + 2 b^3 = abs(-4 (-2) - 8) + abs(-1 - (-2)^2) + (-2)^3×2
(-2)^2 = 4:
abs(-4 (-2) - 8) + abs(-4 - 1) + 2×(-2)^3
-4 (-2) = 8:
abs(8 - 8) + abs(-4 - 1) + 2×(-2)^3
8 - 8 = 0:
abs(0) + abs(-1 - 4) + 2×(-2)^3
-1 - 4 = -5:
abs(0) + abs(-5) + 2×(-2)^3
(-2)^3 = (-1)^3×2^3 = -2^3:
abs(0) + abs(-5) + 2×-2^3
2^3 = 2×2^2:
abs(0) + abs(-5) + 2 (-2×2^2)
2^2 = 4:
abs(0) + abs(-5) + 2 (-2×4)
2×4 = 8:
abs(0) + abs(-5) + 2 (-8)
Since 0 is at the origin, then abs(0) = 0:
abs(-5) - 8×2
Since -5<=0, then abs(-5) = 5:
5 - 8×2
2 (-8) = -16:
-16 + 5
5 - 16 = -11:
Answer: -11
9514 1404 393
Answer:
36√3 cm
Step-by-step explanation:
The perimeter of an equilateral triangle is 2√3 times the height.
P = (2√3)h
P = (2√3)(18 cm) = 36√3 cm
_____
<em>A little more detail</em>
The hypotenuse of a 30°-60°-90° triangle is 2/√3 times the longer leg. Here, the longer leg is 18 cm, so the side length of the equilateral triangle is ...
18(2/√3) = 12√3 . . . cm
The equilateral triangle perimeter is 3 times that, or 36√3 cm.
Answer:
141
Step-by-step explanation:
Subtract 2 from 284(for the length of 1 on each side) and divide 282 by 2 to get 141
