For #1:
y = x + 4
Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.
To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:
y - y1 = m(x - x1)
Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.
y - 2 = 1(x - 2)
Distribute 1 into the parenthesis:
y - 2 = x - 2
Add 2 to both sides:
y = x
So your equation is y = x.
If they do not have a line of best fit this may be because there is no correlation
V=4/3 πr^3would be the formula
Answer: {5 ± 2√10, 5 - 2√10}
Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.
Next, square root both sides to get x - 5 = ± √40.
Notice that root of 40 can be broken down to 2√10.
So we have x - 5 = ± 2√10.
To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.
So our answer is just {5 ± 2√10, 5 - 2√10}.
As a matter of form, the number will always come before the
radical term in your answer to these types of problems.
In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.
Answer:
The average velocity of the ball at the given time interval is -122.3 ft/s
Step-by-step explanation:
Given;
velocity of the ball, v = 34 ft/s
height of the ball, y = 34t - 26t²
initial time, t₀ = 3 seconds
final time, t = 3 + 0.01 = 3.01 seconds
At t = 3 s
y(3) = 34(3) - 26(3)² = -132
The average velocity of the ball in ft/s is given as;

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s