Answer:
112.896
Step-by-step explanation:
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.
Answer:
About 90.84 in^2
Step-by-step explanation:
The formula for the surface area of a pyramid is
, which for this pyramid is equal to about 90.84 in^2. Hope this helps!
Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
The function and the first value stated for x are confusing.
Doing some research, I found that the problem is to evaluate the function
for x = - 1 and x 2.
The solution is:
1) For x = - 1
2) For x = 2