9514 1404 393
Answer:
10
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100
d = 10
The distance between P and Q is 10.
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<em>Additional comment</em>
You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.
a is the fifth term of a sequence. It represents the value of a depreciating
5 asset (your car) after 5 years have gone by since its purchase.
24,000 (really, $24,000) represents the initial value of the car.
(3/4) is the common ratio. Since (3/4) is between 0 and 1, we know the car is depreciating (losing value) each year, and that the value of the car at the end of this year is (3/4) times the previous value.
Answer:
No. It is not.
Step-by-step explanation:
Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15
Answer: There are 646,646 different selections.
The library is going to select 10 books from a set of 22 books. There are a lot of different possibilities. This is a combination problem.
The standard notation is 22 C 10, this means that we are selecting 10 from 22 and the order doesn't matter. Most calculators will do this for you.
If you want to do the work by hand, evaluate: 22! / (10! x 12!)
Either way you will get 646,646 possibilities.<span />
