Answer: 5:8
Step-by-step explanation:
By reducing both sides equally, the ending answer is 5:8
(There can be many answers to your question but the one i told you is the most reduced one)
Answer:
Beto and Mark
Step-by-step explanation:
When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.
Answer:
The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The formula of the slope of a line is ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
∵ Grant's path is a line from point A to point B
∴ The equation of AB represents Grant's path
Lets find the slope of AB using the formula of the slope above
∵ A = (8 , 0)
∵ B = (-4 , 6)
∴
= 8 and
= -4
∴
= 0 and
= 6
∵ ![m=\frac{6-0}{-4-8}=\frac{6}{-12}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6-0%7D%7B-4-8%7D%3D%5Cfrac%7B6%7D%7B-12%7D)
∴
Substitute the value of m in the form of the equation
∵ y = m x + b
∴ y =
x + b
∵ b is the value of y at x = 0
∵ y = 4 at x = 0 ⇒ from the figure
∴ b = 4
∴ y =
x + 4
We can write
x as ![-\frac{x}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7Bx%7D%7B2%7D)
∴ y =
+ 4
- Switch the two terms of the right hand side
∴ y = 4 - ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
The equation of Grant's path is y = 4 - ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
Answer:
Step-by-step explanation: