Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
4:30 hours ..............
The equation v in terms of other variables is v = kr/2h
<h3>What is the subject of an equation?</h3>
It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
2(vh) / k = r
by cross multiplication
2(vh) = kr
divide both sides by 2h
v = kr/2h
In conclusion, v in terms of other variables is kr/2h
Learn more about subject of an equation: brainly.com/question/657646
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A of trapezium = ((a+b)/2)(h)
A = ((10+10+4)/2)(8)
A = (24/2)(8)
A = 12(8)
A = 94
The area is 94ft²
Answer:
343
Step-by-step explanation:
if you have a cube, then the volume is one of the sides cubed, or to the third power. 7^3 can be represented as 7*7*7, or 7x7x7, which is 343.
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