Solve system of equation y=x^2+3x+1,y=-x-3

x = -2

y = -1

Step-by-step explanation:

y = x² + 3x + 1       y = -x -3

Set the equations equal to each other:

x² + 3x + 1 = -x - 3

Move all terms to one side:

x² + 3x + x + 1 + 3 = 0

x² + 4x  + 4 = 0

factor:

(x + 2)² = 0

take square root of both sidesL

x + 2 = 0

subtract 2 from both sides:

x = -2

Plug -2 in for x in either of the equations:

(-1)²+3(-1)+1 = y

y = -1

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

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.