Answer:
hope it helps you see the attachment
Answer:
A. 7 in.
Step-by-step explanation:
We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.
We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.
![\text{Perimeter}=2(l+w)](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%7D%3D2%28l%2Bw%29)
![\text{16 in}=2(l+w)](https://tex.z-dn.net/?f=%5Ctext%7B16%20in%7D%3D2%28l%2Bw%29)
![\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B16%20in%7D%7D%7B2%7D%3D%5Cfrac%7B2%28l%2Bw%29%7D%7B2%7D)
![\text{8 in}=l+w](https://tex.z-dn.net/?f=%5Ctext%7B8%20in%7D%3Dl%2Bw)
To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.
Therefore, 7 inches the possible value for the length of the rectangle.
Answer:
3x+4y=20
Step-by-step explanation:
The slope-intercept equation would be:
y=mx+b
y=-3/4(x)+5
But standard form is
ax+by=c
We can obtain this by moving the -3/4(x) to the left side
![\frac{3x}{4} +y=5](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B4%7D%20%2By%3D5)
Multiply both sides by 4 to get rid of the fraction
3x+4y=20
Answer:
or 6.32
Step-by-step explanation:
We can find the distance between two points by using this formula
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
where the x and y values are derived from the given points
The points given are ( -2 , 5 ) and ( 4 , 3 )
So we plug in the x and y values of those coordinates into the distance formula
![\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}](https://tex.z-dn.net/?f=%5Csqrt%7B%284-%28-2%29%5E2%2B%283-5%29%5E2%7D%20%5C%5C4-%28-2%29%3D6%5C%5C3-5%3D-2%5C%5Cd%3D%5Csqrt%7B6%5E2%2B-2%5E2%7D%20%5C%5C6%5E2%3D36%5C%5C-2%5E2%3D4%5C%5C36%2B4%3D40%5C%5Cd%3D%5Csqrt%7B40%7D)
or 6.32