Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
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A square is a quadrilateral that has the same length on every side.
The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.
Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.
Hannah will need 56 feet of fencing.
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Answer:
200 minutes ; 3 hours and 20 minutes.
Step-by-step explanation:
If you write a proportion in the form
miles/minutes = miles/minutes
you would get 3/50 = 12/x
from there you cross multiply to get
3x=600, and solve that to get 200 minutes.
another way was to see that 12 is 3*4, and multiply 50 by 4 to get the same answer.
Answer:
212 tickets were sold
Step-by-step explanation:
a (adult) + s (student) = 326
8a + 5s = 1972
-5(a + s = 326)
-5a-5s=1630
3a/3 = 342/3
a = 114
114 + s = 326
s = 212