Y = -2x + 5 is parallel to line as the slopes ( = -2) are the same.
the other 2 lines are nether parallel or perpendicular
Answer:
3w + 52 ≥ 90
Step-by-step explanation:
If she volunteers 3 hours per week for w weeks, then the number of hours from tutoring is 3w. Add the 52 hours from her summer volunteering, and her total hours is 3w + 52. This needs to be at least 90 hours for her to graduate, so:
3w + 52 ≥ 90
The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
Just put 4 as x in the equation and solve it. The new equation is:
sqrt(2*4)+1+3 = 0
Now we can solve it.
sqrt(2*4) becomes sqrt8:
sqrt8+1+3=0. -------> sqrt8+4=0
The sqrt of 8 is about 2.83.. so 2.83+4 is:
6.83
So we have 6.83 as the answer
but 6.83 does not equal 0 so x cannot equal 4
X² + 11x + 28 + x² + 13x + 40
combine like terms
x² + x² = 2x²
11x + 13x = 24x
28 + 40 = 68
2x² + 24x + 68 is your answer
if you want it simplified:
2(x² + 12x + 34)
hope this helps
