There is no greatest perimeter of a rectangle with an area of 39 square feet.
To see why, consider the length of 3 and width of 13. Area would be 39 and perimeter would be 3 + 3 + 13 + 13 = 32
Now consider length of 3/2 = 1.5 and 13·2 = 26. Then area is same but perimeter is 1.5 + 1.5 + 26 + 26 = 55.
Now we can just repeatedly half the length and double the width.
L = 3.0, W = 13
⇒ A = 39, P = 32.0
L = 1.5, W = 26
⇒ A = 39, P = 55.0
L = 0.75, W = 52
⇒ A = 39, P = 105.5
L = 0.375, W = 104
⇒ A = 39, P = 208.75
L = 0.1875, W = 208
⇒ A = 39, P = 416.375
L = 0.09375, W = 416
⇒ A = 39, P = 832.1875
L = 0.046875, W = 832
⇒ A = 39, P = 1664.09375
L = 0.0234375, W = 1664
⇒ A = 39, P = 3328.046875
L = 0.01171875, W = 3328
⇒ A = 39, P = 6656.0234375
L = 0.005859375, W = 6656
⇒ A = 39, P = 13312.01171875
Notice how P just kept growing. That's because width grow much faster than length <span>shrinking, </span>so P would grow endlessly.
Hope this helps.
Answer:
A
Step-by-step explanation:
Reflection over the x axis means that for points A, B, and C, the sign of the y value would change. Since point A is (1, 1), a reflection over the x axis means that it would become (1, -1). We can do the same for points B and C and therefore the answer is graph A
Answer:
135 degrees
Step-by-step explanation:
(8x-7)+(12x+57)=180
combine like terms
20x+50 = 180
subtract 50 on both sides
20x = 130
divide by 20
x = 130/20
x = 13/2
x = 6.5
cpq = 12x+57
cpq = 78 + 57
cpq = 135
First take x + 2y = 6 and isolate x:
x = 6 - 2y
Then substitute that for x in 2x + 3y = 4:
2(6 - 2y) + 3y = 4
12 - 4y + 3y = 4
12 - y = 4
-y = -8
y = 8
Substitute y = 8 into x + 2y = 6 and 2x + 3y = 4:
x + 2(8) = 6 --> x + 16 = 6 --> x = -10
2x + 3(8) = 4 --> 2x + 24 = 4 --> 2x = -20 --> x = -10
y = 8 and x = -10
653 divided by 7= 93 2/7
456 divided by 4= 114
2354 divided by 9= 261 5/9
