Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Hi! so you would find x by adding the corners up to 180 degrees.
steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
Answer:
x + y <u>></u> 15
10x + 5y <u><</u> 100
we will put it in terms of y
y <u>></u> 15 - x
and
5y <u><</u> 100 - 10x
y <u><</u> 20 - 2x
<u>-TheUnknownScientist</u>
Answer:
0.45
Step-by-step explanation:
Step 1:
Step 2:
8 · x = 0.3 · 12
8x = 3.6
Last Step: Divide both sides by 8 to isolate the value x
