Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.
a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*
b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*
c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*
d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*
The answer is C) 9, 40, 41.
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Answer:
the answer is option no.B
- 3/6 - 5/7
We have to get both fractions to have the same denominator, so we multiply fraction 1 by 7/7 and fraction 2 by 6/6
So now, we have -21/42 - 30/42
Since we have the same denominator (the bottom number), all we have to do is look at the numerators, (top numbers) and add them.
So, we do -21 - 30, which equals -51.
So, our answer is -51 / 42
It is an improper fraction, so we turn it into a mixed number.
So, our new answer is -1 9/42
However, that can be simplified.
Now, it is -1 3/14
It is pronounced as "negative one and three fourteenths."
~Hope I helped!~