The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.
so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2
32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L
so our length is 9 meters.
w = L - 2
w = 9 - 2
w = 7
so our width is 7 meters.
Lets get started :)
These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain
6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side
x² + 2x
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
x + 1 = + 3 or x + 1 = - 3 x = 2 or x = - 47. x² - 6x = 16
→ We do the same thing we did in the previous question
x² - 6x +
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
x - 3 = + 5 or x - 3 = - 5 x = 8 or x = - 28. x² - 18x = 19
x² - 18x +
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1
9. x² + 3x = 3
x² + 3x +
x + = + or x +x = or x =
Answer:
The answer is 25 and -25 :)
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Jeremy should use coupon 2 because when you multiply both the sweaters (36) by .25 you get 9, and then you subtract 36 by 9 which is 27.
But when you use coupon 1 you multiply 18 by .40 which is 7.20 where you subtract 18 by 7.20 which is 10.80. You then add 10.80 with 18 which is 28.80.
I don't even know what the question is but I found the same problem and this was the answer
1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000