Answer:
36 in
Step-by-step explanation:
The ratio of proportionality between the two similar triangles is 1:6, which you can find by dividing the corresponding side length measures from each triangle (3/18 = 4/24). Then you can set up a proportion:
1/6 = 6/x, which you can solve to get x = 36
Slope = y2 - y1 / x2 - x1
= 8-4 / 3-2
= 4 / 1
= 4
<span>The definition of quadratic function is given by:
</span>

<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>

<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:

Thus:
Finally,
the answer is:

The graph of this function is shown in the figure below.</span>
Answer:
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.