Answer:
x - 3
Step-by-step explanation:
Given

Note that x² - 9 is a difference of squares and factors as
x² - 9 = (x + 3)(x - 3), thus
Cancel the x+ 3 factor on the numerator/ denominator leaving
x - 3 ← in simplified form
Answer/step-by-step explanation:
The 300/40 comes from the fact that ¾ of a 400 meter swim is 300 meters, and if you want to know how long he took to do that, you need to divide by the speed, 40 meters per minute (meters divided by meters per minute = minutes). Likewise with the 100/35—that’s the last 100 meters he swam, at the slightly slower speed.
Just to bring it all the way home, average speed is total distance divided by total time. that the total distance is 400 meters. You know the total time is 300/40 + 100/35. Average speed, then, is:
Average Speed:
Round: 39 meters per minute
I think if wrong I'm sorry
Answer:
When you ask a statistical question, you should expect to get a wide variety of answers.
Step-by-step explanation:
Step-by-step explanation:
We know that the Pythagorean theorem is represented in the formula:
a^2 + B^2 = c^2
Where a and b are the legs of a right triangle, and c is the hypotenuse. Therefore, looking at the Pythagorean triples, we can infer that they are considered Pythagorean triples because they follow the Pythagorean theorem. To check if this is true, we can insert the numbers into theorem:
a^2 + b^2 = c^2
6^2 + 8^2 = 10^2
36 + 64 = 100
Since this equation is true, these three numbers could be the lengths of a right triangle, and are also therefore, a Pythagorean triple. We can also check the other three numbers:
a^2 + b^2 = c^2
5^2 + 12^2 = 13^2
25 + 144 = 169
Since this equation is also true, these three numbers could also be the side lengths of a right triangle, and are also therefore, a Pythagorean triple.