Answer:
the answer is A
Step-by-step explanation:
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
Answer:
x/y=1/4
Step-by-step explanation:
3x+2y=3y-2
3x=3y-2y-2
3x=y-2
y=3x+2
x+y=10
x+3x+2=10
4x+2=10
4x=10-2
4x=8
x=8/4
x=2
2+y=10
y=10-2
y=8
x/y=2/8=1/4
<span>Identify the corresponding word problem given the equation: x + 5 = 15
</span><span>C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
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</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
</span><span>C) The price of diesel has been no more than $4.50 for the last month.
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<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
</span><span>B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles
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</span><span>Identify the corresponding word problem given the equation: x + 12.50 = 55.75
</span><span>A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
</span>x = 55.75 - 12.50 = 43.25
Before he had $43.25
