BONUS: Find x.
15)
10V3

For the given figure, x = 34.640 units.

Step-by-step explanation:

Step 1:

The formulae needed to solve this question are:

The triangle containing x can be split into two right-angled triangles.

So the hypotenuse of the triangle containing the length x and the already given right angle triangle's hypotenuse is the same length.

Step 2:

First, we calculate the hypotenuse of the given triangle.

The angle of the triangle is 45°, the adjacent side's length = 10√3 units. Assume the hypotenuse's length to be a units.

units.

Step 3:

For the split triangle, we have the angle as 45°, the opposite side measuring units (only half of x is in each triangle) and the hypotenuse measuring 24.498 units.

So x measures 34.640 units.

i not know

step-by-step explanation:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this