Answer:
V = 396 cm³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h the height of prism )
A = bh ( b is base and h perpendicular height )
here b = 9, h = 8 , then
A = × 9 × 8 = 4.5 × 8 = 36 cm² , so
V = 36 × 11 = 396 cm³
Not sure what the extra numbers and equation are, but I'll just solve it.*Note* first number and second number isn't really assigned, just shows one of the numbers of the two*
F= first number
S= second number
F+S=78
F-S= 32
Now, you want to eliminate F, so you'll multiply the first equation by -1
-(F+S=78)
F-S=32
-F-S=-78
F-S=32
-2S=-46
S=23
Now plug in the number to one of the equations.
F+23=78
78-23= 55
The two numbers are 55 and 23.
Answer:
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I would use the distance formula to solve this problem:
Distance formula:
(x1,y1) = (3,5)
(x2,y2)= (0,1)
Plug in points to find radius:
r=
r=
r=
r=
r=
r=
r= 5 units
To find the other point on the circle that crosses the y-axis change the sign of y2.
(x1,y1) = (3,5)
(x2,y2) = (0,-1)