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Aleksandr [31]
3 years ago
9

Write the equation of the line that has the slope m=2/5 and passes through the point ​(25​,−9​). Write the equation in​ slope-in

tercept form if possible.
I thought y=2/5x-9 but that's not right?
Mathematics
1 answer:
klemol [59]3 years ago
8 0
You're given the slope of the line and a point thru which the line passes.  So it makes sense to use the point-slope form of the equation of a straight line:  if the point is (a,b) and the slope is m, then 

y-b=m(x-a).  You'd then solve this for y to obtain the equation in slope-intercept form.

On the other hand, if you're asked to write the equation in slope-intercept form, starting with the general form of this equation may be faster:  y=mx+b.

Substitute the given values for x and y (which are 25 and -9) and m (which is (2/5).  Solve the resulting equation for b (the y-intercept).

Then write the finished equation:  y=( ? )x + b, where b is the y-intercept you've just found.

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You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
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Circular pen means you are going to use Area = Pi(r^2). 

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
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