Solve 5x2 = −30x − 65. x = −3 ± 2i x = −3 ± 4i x = −6 ± 2i x = −6 ± 4i

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

5 x^2 = -5 (6 x + 13)

Expand out terms of the right hand side:

5 x^2 = -30 x - 65

Add 30 x + 65 to both sides:

5 x^2 + 30 x + 65 = 0

Divide both sides by 5:

x^2 + 6 x + 13 = 0

Subtract 13 from both sides:

x^2 + 6 x = -13

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Write the left hand side as a square:

(x + 3)^2 = -4

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Subtract 3 from both sides:

x = -3 + 2 i or x = -3 - 2 i

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

i think you would have to divide the money he had saved, which is $2,000 by the time he plans on exercising which is 40 hours, and the answer you get should tell you the answer to your question.