Help!!!!! please!!!!!
2 answers:
Answer:
D. 192.5cm^3
Step-by-step explanation:
Well the formula to find the volume of a triangular prism is pretty long so if you would like to know it you can search it up.
Well we still have to find one side of the small triangle so we use the Pythagorean Theorum formula which is .
So we have a and b which are 7 and 5 and using the in the formula we get 74
Now we have 74 = c^2.
So we find the square root of 74 which is about 9 rounded to the nearest whole number.
Now that we have c we plug it in the formula and get 191.54.
aso the answer is D. 192.5cm^3.
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Answer:
B) (−1, 3)
Step-by-step explanation:
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, ƒ(x) = −3x² − 6x
a = -3; b = -6; c = 0
Calculate h
h = -(-6)/2(-3)]
h = 6/(-6)
h = -1
Calculate k
k = -3(-1)² -6(-1)
k = -3 + 6
k = 3
So, h = -1, k = 3, a = -3
The vertex form of the equation is f(x) = -3(x + 1)² + 3.
The vertex is at (-1, 3).
The figure below shows the graph of ƒ(x) = −3x² − 6x with the vertex
at (-1, 3).
