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Step-by-step explanation:

Equation Solving

We are given the equation:

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

Simplify the radical with the cube:

Multiply by 2y+9

Simplify:

Operate the parentheses:

Subtract 3y and :

Factor y out of the left side:

Divide by :

ii) To find y when x=2, substitute:

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh