Answer:
it's 7
Step-by-step explanation:
this needs to be 20 characters long
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
The first 5 is in the 10s place. The second is in the ones. To write this out, it would be 5 tens (50), plus 5 ones (5); 55. I don't know if this is what you were looking for, but I hope I could help in some way!
Answer:
x = 
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( - )x + 
= - 9 +
(x - )² = 
( take the square root of both sides )
x - = ± 
= ± ( add
x = ± = 
Answer: 40%
Step-by-step explanation:
There are 70 cookies in total.
The gingerbread cookies number 28.
The percentage that are gingerbread will therefore be:
= Number of gingerbread/ Total number of cookies * 100%
= 28 / 70 * 100%
= 40%
