Answer:
- quotient: 2x^2 +3x +7
- remainder: 20
Step-by-step explanation:
See the attachment.
At each step, the value being subtracted from the dividend is the product of the quotient term and the divisor. The quotient term is found by dividing the highest-degree term of the dividend by the highest degree term of the divisor (x).
When the dividend has a degree that is less than the degree of the divisor, we call that value (20) the remainder.
12 - t|3r - 2|
r = -6; t = 3
subtitute:
12 - 3 · |3 · (-6) - 2| = 12 - 3 · |-18 - 2| = 12 - 3 · |-20| = 12 - 3 · 20 = 12 - 60 = -48
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
