Is there a picture that I can see of the question
Answer:
Area = 70 Perimeter = 50
Step-by-step explanation:
I will begin with area. I can find the area of each figure, then add the areas.
3 • 18 = 54
4 • 4 = 16
Area = 70
For perimeter, I will add the given lengths.
3 + 18 + 7 + 4 + 4 + 14
Perimeter = 50
First simplify the section in the parenthesis.
-1/6 + 2/3(8 1/4) + -1/2
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2
Add -1/2 to 5 1/2.
-1/6 + 5
Add 5 to -1/6.
4 5/6 is the fully simplified answer.
Hope this helps!
Given

we have

Squaring both sides, we have

And finally

Note that, when we square both sides, we have to assume that

because we're assuming that this fraction equals a square root, which is positive.
So, if that fraction is positive you'll actually have roots: choose

and you'll have

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

and you'll have

Squaring both sides (and here's the mistake!!) you'd have

which is not a solution for the equation, if we plug it in we have

Which is clearly false