The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
<h3>What is a Parabola ?</h3>
A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
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324, 361, 400
18^2=324
19^2=361
20^2=400
Answer:
RT = 9
Step-by-step explanation:
x-2 + 4x-9 = x+5
5x-11 = x+5
subtract the x from the right side to 5x and the left side x cancels out
add 11 on the right side which cancels out and add to right side
4x = 16
divide 4x by 4 which cancels out and divide 16 by 4
x = 4
take the equation for RT = x+5
yk x = 4 so that makes 4+5 which is equal to 9
