Answer: Choice A) y = cx
The 'c' is the constant of variation
For example, if c = 2, then y = 2x is a direct variation. Whatever x is, we double it to get y. As x increases, so does y. As x decreases, then so does y. Both x and y increase/decrease together.
Direct variation equations always go through the origin, and they are always linear. The 'c' plays the role of the slope. You can think of y = cx as y = mx+b where b = 0 in this case and c = m.
Answer:
lower bound = 90 - 10 = 80 cm
upper bound = 90 + 10 = 100 cm
lower bound d = 1500 x 80 cm = 120,000 cm
upper bound d = 1500 x 100 cm = 150,000 cm
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.
