Answer:
Step-by-step explanation:
1) Rewriting for the sake of clarity:
2) To solve it, we need to turn the rational exponent equal to 1 via exponent rule of product. Multiplying 2/3 by its reciprocal 3/2 we get 1, since this is an equality we need to do it on the other side.
![(x-1)^{\frac{2}{3}}=64\\\\((x-1)^{\frac{2}{3}}]^{\frac{3}{2}}=(64)^{\frac{3}{2}}\\(x-1)=\sqrt{64^{3}}\\x-1+1=512+1\\x=513](https://tex.z-dn.net/?f=%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D64%5C%5C%5C%5C%28%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%2864%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5C%5C%28x-1%29%3D%5Csqrt%7B64%5E%7B3%7D%7D%5C%5Cx-1%2B1%3D512%2B1%5C%5Cx%3D513)
Asssuming blanks are plus
5(x+1)=4(x+8)
distribute
a(b+c)=ab+ac
5(x+1)=5x+5
4(x+8)=4x+32
5x+5=4x+32
minus 4x from both sides
x+5=32
minus 5 from both sides
x=27
Answer:
m = 1/2 point (5, -7)
Step-by-step explanation:
The equation is in point slope from
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y+7 = 1/2(x-5)
Rewriting
y - -7 = 1/2 (x - 5)
We can see that 1/2 is the slope and (5, -7) is a point on the line
a writer will use a for the informal language
Answer:
117
Step-by-step explanation:
<DAB = <B + <C
