Step-by-step explanation:
![\text{The distributive property:}\\\\a(b-c)=ab-ac\\\\8(y-7)=(8)(y)-(8)(7)=8y-56\\\\\text{If you want whole solution:}\\\\8(y-7)=-16\\8y-56=-16\qquad\text{add 56 to both sides}\\8y-56+56=-16+56\\8y=40\qquad\text{divide both sides by 8}\\\dfrac{8y}{8}=\dfrac{40}{8}\\\boxed{y=5}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20distributive%20property%3A%7D%5C%5C%5C%5Ca%28b-c%29%3Dab-ac%5C%5C%5C%5C8%28y-7%29%3D%288%29%28y%29-%288%29%287%29%3D8y-56%5C%5C%5C%5C%5Ctext%7BIf%20you%20want%20whole%20solution%3A%7D%5C%5C%5C%5C8%28y-7%29%3D-16%5C%5C8y-56%3D-16%5Cqquad%5Ctext%7Badd%2056%20to%20both%20sides%7D%5C%5C8y-56%2B56%3D-16%2B56%5C%5C8y%3D40%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%208%7D%5C%5C%5Cdfrac%7B8y%7D%7B8%7D%3D%5Cdfrac%7B40%7D%7B8%7D%5C%5C%5Cboxed%7By%3D5%7D)
Answer:
Step-by-step explanation:
3 log 2+log (x-4)=log 2³+log (x-4)=log 8+log (x-4)=log 8(x-4)
Answer:
The y-intercept is the point (0,-8)
see the attached figure
Step-by-step explanation:
we have
![f(x)=x^{2}-2x-8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D-2x-8)
we know that
The y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0
![f(x)=0^{2}-2(0)-8\\f(x)=-8](https://tex.z-dn.net/?f=f%28x%29%3D0%5E%7B2%7D-2%280%29-8%5C%5Cf%28x%29%3D-8)
therefore
The y-intercept is the point (0,-8)
see the attached figure to better understand the problem
I think you can use cosine rule if only the lines that form the <52 are equal.