Answer:
y = x - 1 (third answer choice)
Step-by-step explanation:
From the given we see immediately that the slope of this line is -1. The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1. The slope-intercept form is y = mx + b. To find b, the y-intercept, we make the following substitutions: m = -1, y = -2, x = -2:
-2 = +1(-2) + b, or +1 = 2 + b, or b = -1
and so the desired equation is y = x - 1 (third answer choice)
Answer:
![x=1.56861](https://tex.z-dn.net/?f=x%3D1.56861)
Step-by-step explanation:
![62^x=648](https://tex.z-dn.net/?f=62%5Ex%3D648)
By using logarithms it becomes easier to solve this question because of the properties they have
From the property of logarithms
![loga^x=xloga](https://tex.z-dn.net/?f=loga%5Ex%3Dxloga)
Take logarithms on both sides
![log62^x=log648](https://tex.z-dn.net/?f=log62%5Ex%3Dlog648)
![\Rightarrow xlog62=log648](https://tex.z-dn.net/?f=%5CRightarrow%20xlog62%3Dlog648)
![\Rightarrow x=\frac{log648}{log62}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%5Cfrac%7Blog648%7D%7Blog62%7D)
![\Rightarrow x=1.56861](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D1.56861)
![x=1.56861](https://tex.z-dn.net/?f=x%3D1.56861)
x should equal -2 and y should equal -3 to solve this i multiplied the first equation by 2 then got rid of the 4y and -4y then i added the 14x to the 9 equaling 23x and added the -40 to the -6 which became 23x=-46 i solved this getting -s for x, then i plugged that into the equations to get y which was -3
Answer:
Step-by-step explanation:
![64^1/4\\\\=\dfrac{64^{1}}{4} \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\ C](https://tex.z-dn.net/?f=64%5E1%2F4%5C%5C%5C%5C%3D%5Cdfrac%7B64%5E%7B1%7D%7D%7B4%7D%20%20%5C%5C%5C%5C%3D%5Cdfrac%7B64%7D%7B4%7D%20%5C%5C%5C%5C%3D16%5C%5C%5C%5CAnswer%5C%20%20C)