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Anna35 [415]
3 years ago
8

on a suspension bridge the roadway is hung from cables hanging between support towers. the cable of one bridge segment of the pa

rabola y=.1x^2-7x +150 where y is the height of the cable in feet above the roadway at the distance x feet from a support tower. what is the closest the cable comes to the roadway? how far from the support towers does this occur
Mathematics
1 answer:
Greeley [361]3 years ago
5 0
<span>The parabola opens upward and is symmetric to the y-axis. Its general form is: . y \;=\;ax^2 + c Its y-intercept is (0, 10) . . . Hence: . y \;=\;ax^2 + 10 It passes through (200, 100). We have: . 100 \:=\:a\cdot200^2 + 10 \quad\Rightarrow\quad a \:=\:\frac{9}{4000} Hence: . y \;=\;\tfrac{9}{4000}x^2 + 10 When x = \pm50,\;\;y \:=\:\tfrac{9}{4000}(50^2) + 10 \:=\:\frac{125}{8} Therefore, 50 feet from the center, the cable is 15\tfrac{5}{8} feet high.</span>
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erik [133]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Use mental math to solve the equation w - (-3) = 7 please help
tester [92]

w-(-3)=7

Pretend that there is a -1 in front of the bracket

w-1(-3)=7

Mutiply the bracket by -1

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Move +3 to the other side. Sign changes from +3 to -3.

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Answer: w=4

8 0
3 years ago
How do i resolve this?
EleoNora [17]
Solve for y for both equations then equate and solve:

5x + 9y = 160
9y = 160 - 5x
y = 160/9 - 5/9x

9x + 8y = 202
8y = 202 - 9x
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160/9 - 5/9x = 202/8 - 9/8x (common denominator is 72)

1280/72 - 40/72x = 1818/72 - 81/72x
1818/72 - 1280/72 = 81/72x - 40/72x
538/72 = 41/72x
538 = 41x
538/41 = x
x = 13 5/41
3 0
3 years ago
What is 7,248,193,675 to the nearest billion
-Dominant- [34]
7,248,000,000 thats the answer for the nearest billion

6 0
3 years ago
Read 2 more answers
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Ratling [72]

I got 70

Combination=n!/((n-r)!r!)

=8!/((8-4)!*4!)

=8*7*6*5*4!/(4!*4!)

=8*7*6*5/(4*3*2)

=70 ways

3 0
3 years ago
Read 2 more answers
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