Answer:
The height of the prism measures 22 meters
The volume of the prism measures 10,890 cubic meters.
Step-by-step explanation:
The height is twice the width of the prism.
The prism's width is 11 meters.
2 x 11 = 22
The volume of a rectangular prism is calculated as:
V = l x w x h
So, the volume is:
V = 45 x 11 x 22
The volume is 10,890 cubic meters.
Hope this helps!
Answer:
8 and 6
Step-by-step explanation:
8*8=64
6*6=36
36+64=100
2/3 (i’m not amazing at slope but i believe it is 2/3)
Perpendicular lines are lines that cross at a 90 degree angle
Lines AB and BC
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
