6. Is 6MPH because 12M / 2H
8. Is 40Seconds because 120 / 3
10. Is 113.3 seconds
They are the same measurements, because:
from 10x + 5, first do vertical angle.
then, alternate interior angle,
then vertical angle again,
and another alternate interior angle.
For each vertical and alternate interior angles, the measurements stay the same.
Set them equal to each other, isolate and solve for x.
10x + 5 = 11x - 1
First, isolate the x. Subtract 10x from both sides, and add 1 to both sides
10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)
Simplify
5 + 1 = 11x - 10x
6 = x
x = 6
6 is your answer for x.
hope this helps
Answer:
One real root, with multiplicity 7.
Step-by-step explanation:
The given expresion is
![{(x + 7)}^{7}](https://tex.z-dn.net/?f=%20%7B%28x%20%2B%207%29%7D%5E%7B7%7D%20)
This is a seventh degree polynomial.
According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.
This expression has one real root, with multiplicity , 7.
Answer:
<em>3y+5x=6</em>
Step-by-step explanation:
<u>Equation of the Line</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
![\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The line passes through the points (6,-8) and (-3,7), thus:
![\displaystyle y+8=\frac{7+8}{-3-6}(x-6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%2B8%3D%5Cfrac%7B7%2B8%7D%7B-3-6%7D%28x-6%29)
![\displaystyle y+8=\frac{15}{-9}(x-6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%2B8%3D%5Cfrac%7B15%7D%7B-9%7D%28x-6%29)
Simplifying:
![\displaystyle y+8=-\frac{5}{3}(x-6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%2B8%3D-%5Cfrac%7B5%7D%7B3%7D%28x-6%29)
Multiplying by 3:
![3(y+8)=-5(x-6)](https://tex.z-dn.net/?f=3%28y%2B8%29%3D-5%28x-6%29)
![3y+24=-5x+30](https://tex.z-dn.net/?f=3y%2B24%3D-5x%2B30)
Moving all the variables to the left side:
3y + 5x = 30 - 24
3y + 5x = 6
What is your grade level and which curriculum are you using?