Answer:
y - 2 = 3(x + 1)
y - 2 = 3x + 3
y = 3x + 5
Step-by-step explanation:
The answer is either x = -1 or x = 4.
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Circumference is 25.13
area is 50.27
Answer:
The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.
Step-by-step explanation:
The simple linear regression line is used to determine the changes in the dependent variables when the independent variable is changed.
The general form of the simple linear regression line is:

The simple linear regression model for the reaction time of a certain chemical process based on the temperature (°F) in the chamber in which the reaction takes place is:

Here,
<em>y</em> = reaction time (in hours)
<em>x</em> = temperature (°F)
Compute the expected change in reaction time for a 1°F increase in temperature as follows:


The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
Compute the expected change in reaction time for a 8°F increase in temperature as follows:


The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.