The answer isss..................... 69
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-4, 47) and (2, -16). Substitute:
![m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-16-47%7D%7B2-%28-4%29%7D%3D%5Cdfrac%7B-63%7D%7B6%7D%3D-%5Cdfrac%7B63%3A3%7D%7B6%3A3%7D%3D-%5Cdfrac%7B21%7D%7B2%7D)
Therefore we have:
![y=-\dfrac{21}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B21%7D%7B2%7Dx%2Bb)
Put the coordinates of the point (2, -16) to the equation:
![-16=-\dfrac{21}{2}(2)+b\\\\-16=-21+b\qquad\text{add 21 from both sides}\\\\5=b\to b=5](https://tex.z-dn.net/?f=-16%3D-%5Cdfrac%7B21%7D%7B2%7D%282%29%2Bb%5C%5C%5C%5C-16%3D-21%2Bb%5Cqquad%5Ctext%7Badd%2021%20from%20both%20sides%7D%5C%5C%5C%5C5%3Db%5Cto%20b%3D5)
Answer: ![\boxed{y=-\dfrac{21}{2}x+5}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-%5Cdfrac%7B21%7D%7B2%7Dx%2B5%7D)
[~Answer~] (3.):
Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.) </em>
<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:
1:
Combine multiplied terms into a single fraction
2:
Find common denominator
3:
Combine fractions with common denominator
4:
Multiply the numbers
5:
Re-order terms so constants are on the left
6:
Combine exponents
7:
Rearrange terms
8:
Find common denominator
9:
Combine fractions with common denominator
10:
Re-order terms so constants are on the left
11:
Rearrange terms
12:
Multiply all terms by the same value to eliminate fraction denominators
13:
Cancel multiplied terms that are in the denominator
14:
Distribute
15:
Move terms to the left side
16:
Distribute
17:
Subtract the numbers
18:
Rearrange terms
19:
Use the quadratic formula
20:
Simplify
21:
Separate the equations
22:
Solve
Answer: z = ![\frac{-50 + 2\sqrt{681} }{7}](https://tex.z-dn.net/?f=%5Cfrac%7B-50%20%2B%202%5Csqrt%7B681%7D%20%7D%7B7%7D)
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:
Okay, I really hope my answer is correct.
I am truly sorry if it's wrong :(
Have a great morning, afternoon, or night. <333
<u><em>[-!AveryIsSomeHowAlive!-}</em></u>
Answer:
Yes they are.
Because:
As said in the rules you have to keep the bases and add the exponents.
-5(r-1)
Do you need step by step