Answer:
Step-by-step explanation:
-12+5x=-24+x
4x=-12
x=-3
Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>
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The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
- We can identify the base easily because the base and the top of the prism are exactly the same shape
Area of triangular base:
A = 
A =
(9 ⋅ 9)
A =
(81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³
Answer:
the speed of the plane was 210 mph.
Step-by-step explanation:
Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].
So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).
There is one tangent at x = 1. It is x = 1 (a vertical line).
There is no tangent at x = 35, because the original equation has no solution at x = 35.
Answer:
Step-by-step explanation:
If we know that D is the midpoint, then 2x + 7 = 4(x-3). Doing the algebra on that gives us
2x + 7 = 4x - 12 and
19 = 2x so
x = 9.5