Intersect at where x=x and y=y
see where they have the same x and y values
that is at x=-1 and y=-5
intersect at (-1,-5)
Angle 3 and 5 are alternate interior angles, please mark me Brainliest!
Answer:
x ≈ - 9.41, x ≈ - 6.59
Step-by-step explanation:
Given
x² + 16x + 62 = 0 ( subtract 62 from both sides )
x² + 16x = - 62
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 62 + 64
(x + 8)² = 2 ( take the square root of both sides )
x + 8 = ± 
( subtract 8 from both sides )
x = - 8 ±
Hence
x = - 8 - ≈ - 9.41
x = - 8 + ≈ - 6.59
Let the amount of chocolate bars each child receives be x
X= 30/12
X=5/2
Answer:
<em>x = -10</em>
Step-by-step explanation:
(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)
Multiply both sides by 2.
9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)
Distribute on both sides.
72 - 9x + 72 = 204 - 15x - 120
Combine like terms on each side.
144 - 9x = 84 - 15x
Subtract 144 from both sides. Add 15x to both sides.
6x = -60
Divide both sides by 6.
x = -10
