A) the angle is 105 because its supplemental with the 75 degree angle
B) the angle's 75 because the given 75 degree angle is correspondant
C) 105 again because they are supplemental
Subtracting 2 from the original equation moves the graphed line 2 units down.
He made 3 1/4 total cups of fruit punch
to get this answer you would add 1/4 + 3/4 = 1 cup
then 1 + 2 = 3
finally adding 3 + 1/4 = 3 1/4 total cups of fruit punch
(Hope this makes since :D)
Answer:
(-5, -8)
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
x^2 + 10x = - 17
x^2+10x+17=0
x^2+2*5x+25 - 8=0
(x+5)^2-8=0
h=-5, k= -8
vertex is (-5, -8)
-2x +7 = 3x - 8
Move the variable to the left-hand side and change its sign
-2x -3x+ 7 = -8
Move the constant to the right-hand side and change its sign
-2x -3x = -8 -7
Collect like terms
-5x = -15
Divide both sides of the equation by -5
x=3
