Answer:
The answer to your question is c) y = (-2/3)x + 8/3
Step-by-step explanation:
Data
A (-2, 4)
B (1, 2)
Process
1.- Calculate the slope of the line
-Formula
m = (y2 - y1)/(x2 - x1)
x1 = -2 y1 = 4 x2 = 1 y2 = 2
-Substitution
m = (2 - 4) / (1 + 2)
-Simplification
m = -2/3
2.- Find the equation of the line
Formula
y - y1 = m(x - x1)
-Substitution
y - 4 = -2/3 (x + 2)
-Simplify
y - 4 = (-2/3)x - 4/3
y = (-2/3)x - 4/3 + 4
y = (-2/3)x - 4/3 + 12/3
-Result
y = (-2/3)x + 8/3
Answer:
The equation of the linear function that best fits the data is,
<em>y</em> = 18.66<em>x</em> + 66.87.
Step-by-step explanation:
The line of best is of the form: <em>y</em> = <em>mx</em> + <em>b</em>.
Here, <em>m</em> = slope of the line and <em>b</em> = intercept.
The formula to compute the intercept and slope are:
Consider the table below for the values of <em>∑ X, ∑ Y, ∑ X² </em>and <em>∑ XY</em>.
Compute the value of intercept and slope as follows:
The line of best fit is:
Thus, the equation of the linear function that best fits the data is <em>y</em> = 18.66<em>x</em> + 66.87.
Volume of cylinder = Pi x r^2 x h
Volume = 225pi
r = 3
Substitute values into equations
225pi = Pi x (3)^2 x h
225pi = 9pi x h
Hence h = 225pi/9pi = 25
So h is 25 cm.
Answer:
He would be at the 15 yard line.
Step-by-step explanation:
The 40 yard gain would bring him to the 10 yard line (he caught it at the 50 yard line, so 50 - 40 = 10), but the 5 yards lost due to the tackle and push back would bring him to the 15 yard line (10 + 5 = 15).
