Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
Answer:
17.5
Step-by-step explanation:
The perimeter is the sum of the side lengths:
perimeter = XZ +WZ +WX
The figure shows us WX = WZ, so we can rewrite the formula as ...
perimeter = XZ +2·WZ
Filling in the given values, this becomes ...
50 = 15 + 2·WZ
35 = 2·WZ
35/2 = WZ = 17.5
The length of WZ is 17.5 units.
F(r) = 60 - 2/3r r = 12
Substitute r for 12
f(12) = 60 - 2/3(12) 12 * 2/3 = 8
f(12) = 60 - 8
f(12) = <u /><em><u>52</u></em><em><u /></em>
52 is your answer
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Answer:
Step-by-step explanation:
by theorem :
f continu in [1 , 2]
f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15
so the equation f(x)=0 has at least one real root between x=1 and x=2
so :
1/19 and then to draw a green marble would have to be 1/18 so I hope that helps
