The perimeter of a rectangle can be found using the formula P = 2l + 2w, where l is the length and w is the width.
Here is what we know of the rectangle:
P = 68 in
l = 3w - 2
To find the length, plug 68 for P into P = 2l + 2w, and plug 3w - 2 for l in the same formula. Then solve algebraically for w.
P = 2l + 2w
68 = 2(3w - 2) + 2w
68 = 6w - 4 + 2w
68 = 8w - 4
72 = 8w
9 = w
Now that we have w, we can plug it into 3w - 2 to find l, length.
3w - 2
3(9) - 2
27 - 2
25
That makes our length 25 inches and our width 9 inches. (Don't forget to write units!) Let's plug everything back into the formula to check our work.
68 = 2(25) + 2(9)
68 = 50 + 18
68 = 68 -- This is true
Answer:
The length of the rectangle is 25 inches.
It will be the third choice -5, -3, 1, 4 hope this helps good luck
<h2>
Answer:</h2>
<u>Given :</u> a = -10 and b = -4
<u>To prove :</u> a - b ≠ b - a
<u>Proof :</u> To put the values according to question,
- -10 - (-4) = -4 - (-10)
- -10 + 4 = -4 + 10
- -6 ≠ 6
Hence verified
3 + 3/4x > = 15
3/4x > = 15 - 3
3/4x > = 12
x > = 12 / (3/4)
x > = 12 * 4/3
x > = 48/3 = 16 sessions <==
================
-p - 4p > -10
-5p > -10
p < -10/-5
p < 2 <===
===============
-3 - 6(4x + 6) > = 9
-3 - 24x - 36 > = 9
-24x - 39 > = 9
-24x > = 9 + 39
-24x > = 48
x < = -48/24
x < = -2 <===
=================
2x - 2 > = 10
2x > = 10 + 2
2x > = 12
x > = 12/2
x > = 6........so ur solution set is {6,7}