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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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The angles of a triangle are 80°, 2x + 2°, and 5x°.
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Evaluate the diagram below. Find the measures of Angles A, B, C, and D.
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A: 65° B: 65° C: 125° D: 125°

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Then angled on a straight line add up to 180° so if you take angle A away from 180° you will get the answer to angle C.

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5 0
3 years ago
If 20,x,y,z,25 are in AP .find the value of X,y,z.​
Kamila [148]

Answers:

  • x = 21.25
  • y = 22.5
  • z = 23.75

=============================================================

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

  • x = 20+d
  • y = 20+2d
  • z = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

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  • z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.

5 0
3 years ago
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