Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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Answer:
Step-by-step explanation:
Hi there!
Midpoint = 
where the two endpoints are 
and 
Plug in the given information:
Midpoint = (5,3), Endpoint = (5,5)
where is the other endpoint
Solve for 
:
Solve for 
:
Therefore, the other endpoint is .
I hope this helps!
Answer:
Step-by-step explanation:
y - 2 = 2/3(x - 6)
y - 2 = 2/3x - 4
y = 2/3x - 2
Is a point line and <span>plane</span>
So we know that x+y+<1(the one that is not labeled or doesn't have a number)=180 degrees.
We also know that x+y= 98 degrees.
<1 and 98 degrees are supplementary. so <1=82 degrees.
We know that the triangle is isosceles so y=82 degrees as well.
We also know that a traingle =180 degrees so x=16 degrees
