Answer:
![Width=15\ inLength=20\ in](https://tex.z-dn.net/?f=Width%3D15%5C%20inLength%3D20%5C%20in)
Step-by-step explanation:
x^2=+5X=300
Let
x = the width of the rectangle
y = the length of the rectangle
we know that
the area of the rectangle is equal to
A=xy ___ equation 1
y=x+5 ___equation 2
substitute equation 2 in equation 1
![A=x(x+5)A=x^{2}+5x](https://tex.z-dn.net/?f=A%3Dx%28x%2B5%29A%3Dx%5E%7B2%7D%2B5x)
------> given problem
so
the area of the rectangle is equal to
![A=300\ in^{2}](https://tex.z-dn.net/?f=A%3D300%5C%20in%5E%7B2%7D)
Solve the quadratic equation
![x^{2} +5x-300=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x-300%3D0)
we know that
The formula to solve a quadratic equation of the form
is equal to
![x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
we have
![x^{2} +5x-300=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x-300%3D0)
so
![a=1\\b=5\\c=-300](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D5%5C%5Cc%3D-300)
substitute in the formula
![x=\frac{-5 \pm\sqrt{5^{2}-4(1)(-300)}} {2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5%20%5Cpm%5Csqrt%7B5%5E%7B2%7D-4%281%29%28-300%29%7D%7D%20%7B2%281%29%7D)
![x=\frac{-5 \pm \sqrt{1225}} {2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5%20%5Cpm%20%5Csqrt%7B1225%7D%7D%20%7B2%7D)
![x=\frac{-5 \pm 35} {2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5%20%5Cpm%2035%7D%20%7B2%7D)
![x=\frac{-5+35} {2}=15](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5%2B35%7D%20%7B2%7D%3D15)
![x=\frac{-5-35} {2}=-20](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5-35%7D%20%7B2%7D%3D-20)
The solution is
![x=15\ in](https://tex.z-dn.net/?f=x%3D15%5C%20in)
Find the value of y
y=x+5
![y=15+5=20\ in](https://tex.z-dn.net/?f=y%3D15%2B5%3D20%5C%20in)
![Width=15\ inLength=20\ in](https://tex.z-dn.net/?f=Width%3D15%5C%20inLength%3D20%5C%20in)
Answer:
The equation of the line that passes through points is m = 6/4
Step-by-step explanation: sorry if this is wrong
Answer:
21
Step-by-step explanation:
every step increases by 1
(x+6)2 = x - 8
give me one moment