Answer:
r(n)=3n-1
Step-by-step explanation:
Answer:
r = 13
Step-by-step explanation:
these angles are vertical and are congruent
8r + 6 = 9r - 7
6 = r - 7
13 = r
19/20 in simplest form is 0.95
9/16 in simplest form is 0.5625
Answer:
..
Step-by-step explanation:
a =
⇒ 670
b =
⇒ 301600
c =
⇒ 560
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is ![\mathbf{y=-4x-3}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D-4x-3%7D)
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
First we need to find slope
The formula used for finding slope is: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We are given: ![x_1=-7, y_1=25, x_2=-4, y_2=13](https://tex.z-dn.net/?f=x_1%3D-7%2C%20y_1%3D25%2C%20x_2%3D-4%2C%20y_2%3D13)
Putting values in formula and finding slope
![Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CSlope%3D%5Cfrac%7B13-25%7D%7B-4-%28-7%29%7D%5C%5CSlope%3D%5Cfrac%7B13-25%7D%7B-4%2B7%7D%5C%5CSlope%3D%5Cfrac%7B-12%7D%7B3%7D%5C%5CSlope%3D-4)
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
![y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C25%3D-4%28-7%29%2Bb%5C%5C25%3D28%2Bb%5C%5Cb%3D25-28%5C%5Cb%3D-3)
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
![y=mx+b\\y=-4x-3](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D-4x-3)
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is ![\mathbf{y=-4x-3}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D-4x-3%7D)