I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
Answer: Algebraic: 15-22
Simply:-7
Step-by-step explanation:
Less than means to take away from, so in this case we are taking away 22 from 15
Answer:
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
SU is a midline segment and is one half the measure of VW, thus
VW = 2SU , that is
x - 46 = 2(x - 48) ← distribute
x - 46 = 2x - 96 ( subtract x from both sides )
- 46 = x - 96 ( add 96 to both sides )
50 = x
