Answer:
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so 4 becomes −¼. Now, proceed with plugging the information into the Slope-Intercept Formula:
![\displaystyle -11 = -\frac{1}{4}[4] + b \hookrightarrow -11 = -1 + b; -10 = b \\ \\ \boxed{y = -\frac{1}{4}x - 10}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-11%20%3D%20-%5Cfrac%7B1%7D%7B4%7D%5B4%5D%20%2B%20b%20%5Chookrightarrow%20-11%20%3D%20-1%20%2B%20b%3B%20-10%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7By%20%3D%20-%5Cfrac%7B1%7D%7B4%7Dx%20-%2010%7D)
I am joyous to assist you at any time.
(5)^x=(2^3)^x-7
x=3x-21
-2x=-21
10.5
<em>Answer is 2</em>
<em>If 8x = 16y </em>
<em>on rearranging question,</em>
<em> x/y = 16/8 = 2</em>
50×40=2000
50×8=400
40×7=280
8×7=56
The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
