if 2 angles whose sums are 90 then the angles are Complementary Angles if the 2 angles whose sums are 180 they are Supplementary angles
Point A: (-17+5)÷2=-6
Point B: (-6+0)÷2=-3
Hope my answer helped u :)
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: The unit rate is $25
Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.
Then the equation y = 25x models this relation.
Here the cost is y, and the number of lodgers is x.
We want to find the unit rate.
The actual equation should be in dollars, and the number of lodgers is just a scalar number.
so the equation should be:
y = $25*x
Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.
We already know that the price per lodger is $25, so the unit rate is $25.