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Ket [755]
3 years ago
9

To function properly, a rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance. A 40 feet lo

ng rainwater pipe runs under the edge of a root. What is the verifical distance, in inches, the pipe must drop between its ends? Round your answer to the nearest tenth.
Mathematics
1 answer:
Savatey [412]3 years ago
8 0
1 inch drop for every 25 inches length
40 feet= 12 x 40 = 480 inches
There are 19.2-25 inch lengths in 480 inches.
So there is a  19.2 inch drop  in 40 feet. 

Hope this helps :)

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Choose 3 ratios in simplest form. 3:9
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Answer:

Step-by-step explanation:

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6:18

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are all equivlent ratios

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Slope is -7, and (0,-6) is on the line.
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Anybody know this!? Help please ..
lubasha [3.4K]
The slopes of perpendicular lines are negative reciprocal to each other
ex. the negative reciprocal to 5/2 is -2/5

once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer

point slope
y-y_1 = m(x-x_1)

slope intercept form
y=mx+b
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Find the fifth term in the sequence defined as follows An=2^n
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the 5th term is 24 because you add a by 66 because a is 22

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How do I do these only need to do 1 I just need to see how to do it!
pickupchik [31]

Lets do the first one(7). Fist change 10x -2y = 3,which is in standard form to point slope form so you can see the slope.


10x - 2y = 3

-2y = -10x + 3

-2y/-2 = -10x / -2 + 3/-2

y = 5x - 3/2

The slope is the m in y = mx + b so our slope is 5x, well it wants you to find the equation of a line that passes through (0,1) that is parallel to the equation this (Parallel) mean has the same slope.The slope is 5. Now that we know the slope is 5 we can find the equation by using the point slope form of an equation of a line.

point slope form =  y – y1 = m(x – x1)

Remember m = slope = 5. Now plugin our x and y cord  from the point (0,1) and our slope of 5

y - y1 = m(x - x1)

y - 1 = 5(x - 0)

y - 1 = 5x - 0

y - 1+1 = 5x + 1

y= 5x + 1

So the point (0,1) passes through y = 5x + 1


Number 8 is already in slope intercept form so you don't have to do anything to find the slope. You can see that the slope is 7 so just plug your point into y - y1 = m(x - x1) and then put it into slope intercept form.

8) 

Point = (5,8)

Slope = 7

y - y1 = m(x - x1) 

y - 8 = 7(x - 5) 

y =  7x - 27

So for number 8 the point (5,8) passes through y = 7x - 27


(9) For nine they want an equation that is perpendicular, which means to flip the slope. For instance, if you have a slope of 2/5 the perpendicular slope would be 5/2. For 9 we see that the slope is 2/5 so its perpendicular slope would be 5/2. Now just plug your point into the point slope form equation.

Point = (-4, 6)

Slope = 2/5 

perpendicular slope = 5/2

y - 6 = 5/2(x - (-4))

y = 5/2 x + 16

So point (-4, 6) passes through y = 5/2 x + 16


(10) Point (4,1) passes through y = 7/5 x - 23/5









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4 years ago
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