Answer:
5
Step-by-step explanation:
1) Solve for the slope(m):
(y2-y1) / (x2-x1)
pick any
(-3 - (-5) )/ (1 - 0)
(-3 + 5) / (1 - 0)
2/1 = 2
2) b(intercept) value is found when x = 0:
x = 0, y = -5,
b = y
b = -5
3) Plug it in:
y = mx + b
y = 2x - 5
4) when the value is 5, x = 5:
y = 2x - 5
y = 2(5) - 5
y = 10 -5 = 5
Step-by-step explanation:
The x-intercepts are x = -1 and x = 5, so:
y = k (x + 1) (x − 5)
The vertex is (2, -3), so:
-3 = k (2 + 1) (2 − 5)
-3 = -9k
k = 1/3
y = 1/3 (x + 1) (x − 5)
Simplifying:
y = 1/3 (x² − 4x − 5)
y = 1/3 x² − 4/3 x − 5/3
The volume is 1012 cm³.
The volume of a right prism is found by multiplying the area of the base and the height. First we need to convert the height to centimeters.
1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm
Now we have 44(23) = 1012 cm³
