Which of the following points could you remove so that the resulting graph is the graph of a function?
2 answers:
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Answer:
longer leg: 20 in
shorter leg: 15 in
hypotenuse: 25 in
Formulas:
<u>Pythagorean Theorem</u>
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Step-by-step explanation:
longer leg: x
shorter leg: x - 5
hypotenuse: x + 5
To find x (longer leg), let's use Pythagorean theorem.
Now let's factorize to get solutions for x.
First solution:
Second solution:
Since a side of a triangle has to be a positive number, x is equal to 20.
Now let's just substitute x back to get side lengths. From the question the lengths are in inches.
longer leg: x = 20 in
shorter leg: x - 5 = 20 - 5 = 15 in
hypotenuse: x + 5 = 20 + 5 = 25 in
Let x = number of batches.
So for every batch, you need 2 cups of flour, and you have 20 cups of flour. You cannot make a batch if you don't have the sufficient amount. So using our information, our inequality is . However, this can be further simplified.
For this inequality, divide both sides by 2, and <u>your inequality is .</u> <u>In context, you can make up to 10 batches of cookies.</u>