Answer:
20
Step-by-step explanation:
To solve this problem use proportions. The tree's proportion is equal to and the shed's proportion is
. These proportions are made by putting the height of the object over the length of the shadow. Then, cross multiply to find x. Do this by multiplying
and
. Next set these equal to each other,
. Finally, divide both sides by 30 to find x. This equals 20 feet.
We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula.
Similarly, we will find the slopes using other given coordinates.
Since the rate of change for each set of points is , so the rate of change is constant.
Therefore, the given function is linear.
Answer:
Step-by-step explanation:
<u>Vertex form of a quadratic equation</u>:
where:
<u>Given vertex</u>: (2, -6)
⇒ h = 2 and k = -6
Substitute the values of h and k into the formula:
As we have not been given a value for the constant , assume this is 1.
Therefore, the <u>vertex form</u> of the <u>quadratic function</u> with vertex (2, -6) is:
Learn more about vertex form here:
The equivalent expression is ~