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12345 [234]
3 years ago
15

Opinion needed!!

Mathematics
1 answer:
Savatey [412]3 years ago
7 0
Ap comp science principals is really easy for an ap class, probably because its an intro course, i took it this year, don’t overwhelm yourself id personally take precalc honors
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Prove that the sum of the squares of any two odd numbers is always even
ValentinkaMS [17]

Answer:

proof below

Step-by-step explanation:

Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)

Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;

(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2

= 2(2a^2 + 2a + 2b^2 + 2b + 1)

Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.

6 0
3 years ago
The expression 100 + 20m, gives the volume of water in Eduardo’s pool (in liters) after Eduardo spends m minutes filling his poo
Alex17521 [72]

205 liters in 5 1/4 minutes

m = 5 1/4

20 (5 1/4) = 105

100+105= 205

3 0
3 years ago
Who ever says my real name gets brainiest
Elena L [17]

Answer:

Is it Jose?

Step-by-step explanation:

Your username is Jose

8 0
3 years ago
Read 2 more answers
If the slope is 3 and one ordered pair on the line is (2,9), what is the equation?
Ksenya-84 [330]

Answer:

y = 3x+3

Step-by-step explanation:

we can find the equation of the line with this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope

so we have

y-9 = 3(x-2)

y = 3x-6+9

y = 3x + 3

7 0
3 years ago
What value of w makes this equation true?<br> 5w<br> 30
Arturiano [62]
5w=30
5w/5=30/5
w=6

Therefore w is equal to 6
3 0
2 years ago
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