Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet
Answer:
13 seconds.
Step-by-step explanation:
Given
![h = -4.9(t - 13)(t + 2).](https://tex.z-dn.net/?f=h%20%3D%20-4.9%28t%20-%2013%29%28t%20%2B%202%29.)
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
becomes
![0 = -4.9(t - 13)(t + 2).](https://tex.z-dn.net/?f=0%20%3D%20-4.9%28t%20-%2013%29%28t%20%2B%202%29.)
Divide through by -4.9
![0 = (t - 13)(t + 2).](https://tex.z-dn.net/?f=0%20%3D%20%28t%20-%2013%29%28t%20%2B%202%29.)
Reorder the expression
![(t - 13)(t + 2) = 0.](https://tex.z-dn.net/?f=%28t%20-%2013%29%28t%20%2B%202%29%20%3D%200.)
Split
or ![t + 2 = 0](https://tex.z-dn.net/?f=t%20%2B%202%20%3D%200)
This gives:
or ![t = -2](https://tex.z-dn.net/?f=t%20%3D%20-2)
But time can't be negative, So:
![t = 13](https://tex.z-dn.net/?f=t%20%3D%2013)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.
Answer:
(4+√142)/(3) or x=(4-√142) /3
Step-by-step explanation:
(4+√142)/(3) or x=4-√142 /3