Answer:different of two squares states that
If a²-b² is given then
a²-b²=(a+b)(a-b)
Now to answer the question
(x+2)²-(x)²=68
(x+2+x)((x+2)-x)=68
(2x+2)(x+2-x)=68
(2x+2)(2)=68
Divide both sides by 2
{(2x+2)(2)}÷ 2 = 68/2
2x+2= 34
Collect like terms
2x=34-2
2x=32
Divide both sides by 2
2x/2 =32/2
x=16
Hence
x=16
x+2=16+2=18
The two consecutive even integer are 16 and 18
Step-by-step explanation:
Answer:
the value of both expressions when t = 3 is 33
the value of both expressions when t = 6 is 51
Step-by-step explanation:
33 33
51 51
Here is a photo of what I chose as my equivalent numbers (Red represents my work, blue represents which step comes next, and highlighter shows what the answer is). My reasoning that 1/2 and 5/10 are equivalent is because 5/10 divided by 5/5 is 1/2.
The width is 8.2
Perimeter = 2W + 2L (there are four sides of a rectangle, two longer sides, two shorter, W and L)
<span>65.6 = 2W + 2L
</span><span>L = 3W so substitute 3W in for L </span>
<span>65.6 = 2W +2 (3W) </span>
<span>65.6 = 8W </span>
<span>W = 8.2 cm </span>
<span>L = 3(8.2) </span>
<span>L = 24.6cm </span>
