How do i do this? please someone help me

Mathematics

1 answer:

Illusion [34]4 years ago

6 0

Since this is a 30-60-90 triangle, the sides are in this proportion-
Shortest side (opposite of 30 degree angle)-x (v)
Longest side (opposite of 90 degree angle)-2x
Medium Side (opposite of 60 degree angle)- x(square root of 3)
So 23 is in the 2x proportion. x is v so solve for v like this-
23=2v
Divide 2.
v=11.5
Since v is x and x(square root of 3) is u, solve-
11.5*square root of 3
So-
v=11.5
u=11.5(square root of 3)
Yes, you are correct. I just put it in decimal form. :)

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$y = \frac{1}{2}x^{2} - 3x + 11.5$

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Vertex form of a quadratic equation;

$y = a( x - h )^{2} + k$

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

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