Answer:
Step-by-step explanation:
There are two similar triangles in this figure. The small one has a base of 6 and a height of 3.
The bigger triangle has the smaller one included in it, so you must add together the bases, 6 and x, and the heights, 3 and 4, to get the proportion.
we have
This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is
In this problem
so the x-coordinate of the vertex is
<u>Convert the quadratic equation in vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
remember that
so
substitute in the equation
therefore
<u>the answer is</u>
B, because the height of the boys can be anywhere between any positive number, however not negative because you can't be a negative height.
D, its is non-linear because their heights won't be going up by the same amount each time your x-value increases because the human body grows at different rates, it will be increasing because the human body is always growing until death.
Answer:
x=8
Step-by-step explanation:
x=5+3
= 8