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aksik [14]
3 years ago
5

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0
First you differentiate to find the gradient

dy/dx = (6 - - 8) / (-4 - 7)
          = 14 / -11
          = - 14/11

Then you use this formula
y - y1 = m (x - x1)

y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)

y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11
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Given:x+2y=-6 solve for x what is fhe coefficient of y?​
alexandr402 [8]

Answer:

The coefficient of y is -2

Step-by-step explanation:

x + 2y=-6      

   - 2y   -2y      Subtract 3y from both sides

x = -2y - 6         This equation is solved for x

The coefficient of y is -2

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Read 2 more answers
List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°
scoray [572]
The given angles are 
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0
3 years ago
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