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amm1812
3 years ago
12

How many unique ways are there to arrange the letters in the word PRIOR?

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0
PRIOR MEAN PREVIOUS SO THAT IS UR ANSWER CUH a b c d the answer is yes
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Which algebraic expression has a term with a coefficient of 3?
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The sum of two numbers is 25 and the sum of their squares is 337. Find<br> the numbers
rewona [7]

Answer: 9 and 16

Step-by-step explanation:

Say one of the numbers is x and the other is y.

Set up a system of equations:

x + y = 25\\x^{2} + y^{2} = 337

Move around the first equation so that you can plug it in to the second equation.

x = 25 - y

Plug it into the second equation.

(25-y)^2 + y^2 = 337

Solve it out.

(625-50y+y^2) + y^2 = 337

625-50y+2y^2=337

288-50y+2y^2=0

Use the quadratic formula to solve for y.

y=\frac{-(-50)+\sqrt{(-50)^2-4(2)(288)} }{2(2)} \\\\y= 16\\y=\frac{-(-50)-\sqrt{(-50)^2-4(2)(288)} }{2(2)} \\\\y = 9

Now plug it in and test out the values of each.

Let's do the first one first.

x + 16 = 25\\x = 9

Wow! We can see that it is equal to the 2nd y value we produced.

But let's double check.

9^2 + 16^2 = 337

We are correct. The order of x and y doesn't matter because we can see that the two numbers are 9 and 16. Hope that helps.

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