A monomial is defined as "one term".
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Answer:
Acute
Step-by-step explanation:
The Converse of the Pythagorean Theorem states that:
- If then the triangle is acute.
- If then the triangle is obtuse.
- If then the triangle is right.
The side lengths 8, 14, and 15 are given. We can assume the hypotenuse (or c) is the longest side length, so it is 15.
It doesn't matter which order of the numbers are plugged in for a and b, so a and b will be 8 and 14.
Now we have to add and to see if the sum is greater than, less than, or equal to 15 (c).
Calculate the rest of the problem.
We have to find what is before we can make a decision using the Converse of the Pythagorean Theorem.
260 () is greater than 225 (). This means that the triangle is acute because .
Answer:
Step-by-step explanation:
Answer:
Ralph's current age is 18.
Step-by-step explanation:
Let r and s represent the current ages of Ralph and Sara respectively. Our task here is to determine r, Ralph's age now.
If Ralph is 3 times as old as Sara now, then r = 3s.
Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6. Ralph will be only twice as old as Sara will be then. This can be represented algebraically as
r + 6 = 2(s + 6).
We now have the following system of linear equations to solve:
r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).
r - 2s = 6
r = 3s
Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6. Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.
Ralph's current age is 18.