Equation of required line is:
![y = \frac{3}{4}x-9](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx-9)
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
![y + 5x + 9 = 0](https://tex.z-dn.net/?f=y%20%2B%205x%20%2B%209%20%3D%200)
Subtracting 5x from both sides
![y+9 = 0-5x\\y+9 = -5x](https://tex.z-dn.net/?f=y%2B9%20%3D%200-5x%5C%5Cy%2B9%20%3D%20-5x)
Subtracting 9 from both sides
![y+9-9 = -5x-9\\y = -5x-9](https://tex.z-dn.net/?f=y%2B9-9%20%3D%20-5x-9%5C%5Cy%20%3D%20-5x-9)
The y-intercept is -9.
Other equation is:
![- 3x + 4y = 3](https://tex.z-dn.net/?f=-%203x%20%2B%204y%20%3D%203)
Adding 3x on both sides
![-3x+3x+4y = 3x+3\\4y=3x+3](https://tex.z-dn.net/?f=-3x%2B3x%2B4y%20%3D%203x%2B3%5C%5C4y%3D3x%2B3)
Dividing both sides by 4
![\frac{4y}{4} = \frac{3x+3}{4}\\y = \frac{3}{4}x+\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%20%3D%20%5Cfrac%7B3x%2B3%7D%7B4%7D%5C%5Cy%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D)
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
![m=\frac{3}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B4%7D)
Slope-intercept form of line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting values of b and m
![y = \frac{3}{4}x-9](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx-9)
Keywords: Equation of line, Slope-intercept form
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#LearnwithBrainly
Answer:
2424.5
904.16
Step-by-step explanation:
the mean = ∑frequency /n
∑f = 5+17+36+115+125+81+47+45+22+7 = 500
∑xf = 1212250
∑x²f = 3347037625
sample mean = 1212250/500
= 2424.5
variance = 1/500-1[3347037625 - 1212250²]
= 815710.02
standard deviation is = √variance
standard deviation = √815710.02
= 904.16
Answer:
33.5
Step-by-step explanation:
To solve, you will use the formula 4/3 of pi times radius cubed.
Answer:
42 = x
Step-by-step explanation:
4 = x - 38 4 = x - 38
+38 +38 or 38 + 4 = 42
42 = x plug in 42 into the equation to make it true
4 = 42 - 38
Answer:
Step-by-step explanation: