Answer:
<u>Proportional relationship formula:</u>
- y = kx, where k is the constant of proportionality
Use one of the ordered pairs to calculate the value of k
<h3>Company A</h3>
Point (2, 20)
The equation: y = 10h
<h3>Company B</h3>
Point (3, 20)
- 20 = k*3
- k = 20/3
- The equation: y = 20/3h
Company A has greater unit rate as 10 > 20/3
Answer:
17
Step-by-step explanation:
(7, 8) (-8, 0)
First find how much the point moved in y to the second point.
8-0=8
So one side is 8.
Then find how much it moved in x. 7-(-8)=15
So the other side is 15
This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared
8^2+15^2=c^2
64+225=c^2
289=c^2 Take the square root of both sides to solve for C
√289= √C^2
17 = c
Answer:
y - 5 = -4(x + 3)
Step-by-step explanation:
This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:
y - y₁ = m(x - x₁).
We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:
slope (m) = <u>y - y₁</u>
x - x₁
So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:
y - <u>5</u> = m(x - x₁).
Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:
y - 5 = m(x - (<u>-3</u>)).
Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:
y - 5 = m(x + 3).
Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:
y - 5 = -4(x + 3).
I hope that this helps.
he is 1 and a half feet taller
hope this helps! :
