In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Substituting the values from the triangles we ahve:
s is the right answer
Answer:
Step-by-step explanation:
The standard form of a parabola is
If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:
and c = 400.
Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If
and h = 1, then
and
2a = -b so
b = -2a. Save that for a minute or two.
If
and k = 405, then
and
and
405 = 400 - 4a and
5 = -4a so
We will use that a value now to find the value of b. If b = -2a, then
and
Writing our parabolic equation now:
Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:
and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get
Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are
x = -16.91647287 and 18.91647287
Use the substitution method
7d^2+10
7(3)^2+10
7(9)+10
=63+10
= 73
Answer is 73(third choice)
<h3>
Answer: 471,744,000</h3>
Delete the commas if needed. This is one single number between 471 million and 472 million
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Explanation:
We have 26 letters for the first slot, then 25 for the second, and 24 for the third. We count down like this because we cannot reuse letters.
There are 26*25*24 = 15,600 ways to pick the three letters where repeats aren't allowed.
As for the numbers, we have 10 single digits (0 through 9) for the first numeric slot, then 9 for the next, and so on until we reach 6
So we have 10*9*8*7*6 = 30,240 ways to select the five numbers.
In all, there are (15,600)*(30,240) = 471,744,000 different license plates possible. This number is between 471 million and 472 million.