Answer:
D. A E
Step-by-step explanation:
BEACAUSE THE A IS NEAR TO THE E
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
30/75 = 12/x
30*x=75*12
30x=900/:30
x=30
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m