3^2 = 9 = 4+5
5^2 = 25 = 12+13
work:
If you want to write an odd number as the sum of two consecutive integers, just subtract 1 then divide by 2 and you'll get the first integer.
Like with 25: first subtract 1 and get 24. Then divide by 2 and get 12. So the integers are 12 and 13.
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
2x-5=x+2
x=7
The answer is 7
Answer:
Solving for x. Want to solve for y instead?
1 Factor out the common term 44.
4(7x+8y)=884(7x+8y)=88
2 Divide both sides by 44.
7x+8y=\frac{88}{4}7x+8y=
4
88
3 Simplify \frac{88}{4}
4
88
to 2222.
7x+8y=227x+8y=22
