Answer:
The correct answer is A) x = 2 and y = 6
Step-by-step explanation:
In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.
y - 1 = x + 3
y = x + 4
Now we can do the same with the leg lengths.
y - 3 = 2x - 1
y = 2x + 2
Now that we have two equations, we can set them equal to each other to get the x value.
x + 4 = 2x + 2
4 = x + 2
2 = x
Now that we have x, we can plug it into any equation to get the y value.
y = x + 4
y = 2 + 4
y = 6
It will quarter the result. (I think so)
0.0338 divided by 1.3 equals 0.026
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
