Answer:
2m+3mn-5
Step-by-step explanation:
2m+n x 3m + (-5)
2m +3mn + (-5)
2m +3mn -5
75 meters
Step-by-step explanation:
5 x 30/2
= 5 x 15
= 75 meters
The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
D = sqrt((6 - (-1))^2 + (-2 - 4)^2) = sqrt(7^2 + (-6)^2) = sqrt(49 + 36) = sqrt(85) units.
J (-6,-10)--- J(6, -10)
K(0,-10) --- K(0, -10
L( -6, 0) --- L(6, 0)
