The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
Answer:
The value of g that makes the statement true is 11.
Step-by-step explanation:
The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:
7*(g-9) + 12 = 26
7*(g-9) = 26 - 12
7*(g-9) = 14
(g-9) = 14/7
(g-9) = 2
g = 2 + 9 = 11
The value of g that makes the statement true is 11.
Answer:
Step-by-step explanation:
Simply we know this is an isosceles triangle meaning that:
The other angle is also 35.
With this information, we can say that as a triangle adds up to 180, we can put this in a formula:
x+35+35 = 180
x+70 = 180
x = 110
Answer:
56.5 inches
Step-by-step explanation:
You want to find the perimeter (or the length around the rectangle) to find much lace he needs. the formula for perimeter is 2L+2W=P. L being length, w being width and p being perimeter. Plug in the values for the equation and get 2(12.75)+2(15.5)=P. Multiply and get 25.5+31=56.5.
