Answer:
9/8 or 1 1/8
Step-by-step explanation:
5/8 +1/2
5/8+ 4/8 = 9/8 or 1 1/8
He assumes that 60-x and 2x-6 are vertical angles, so he equated these two expressions.
60-x=2x-6
60+6=2x+x
66=3x
x=22
Answer:
4
Step-by-step explanation:
if there are 8 ounces for 2 then there are 4 ounces for 1.
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
<u>y = -1</u>
