Answer:
Step-by-step explanation:
![[(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000](https://tex.z-dn.net/?f=%5B%286%5E%7B2%7D%2B8%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%20%3D%20%5B%2836%2B64%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%5C%5C%5C%5C%3D%20%5B%28100%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B3%7D%5C%5C%5C%5C%3D%2010%5E%7B3%7D%5C%5C%5C%5C%3D%201000)
1. write in standard form
2. group like terms
3. combine like terms
4. distribute the negative
I hope this helps you
17-g
Answer:
B, D and also E
Step-by-step explanation:
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
