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.
Answer:
one unique solution x=1 y=4
Answer:
Its the third one
Step-by-step explanation:
its the only negative one
Answer: -3/2
Step-by-step explanation:
There are two methods to find the slope
METHOD 1. Rise/Run
Rise: the y-axis value
Run: the x-axis value
In the graph, rise/run=3/2
The line is going down, so it should be negative
-3/2
Hope this helps!! :)
Please let me know if you have any question or need further explanation
The second option: “Keep track of the number of heads flipped in 50 flips. These represent the number of females born today.”
One flip represents one baby born, and one head represents a female birth, so the total number of heads out of 50 flips simulates finding the ratio of females in a sample of 50 births.
