Parallel lines are lines that exist in the same plane and never cross. In order to not cross, their slopes must be the same.
The line given is in slope-intercept form
y = mx + b
Where m is the slope and b is the y-intercept. Therefore the slope of the line y = 5x - 5 is 5.
Any line with a slope of 5 will be parallel.
For example, y = 5x + 1
Answer:
F. The total number of minutes Melissa ran in Week 3 is twice the total number of minutes she ran in Week 1.
Step-by-step explanation:
Week 1 total: 69
Week 2 total: 99
Week 3 total: 140
F. On technical means, it was not twice as much it was 2 mminutes over, but this would be the most correct answer.
G. No, they did not, they increased.
H. No, that would mean that on week 3 Melissa would have ran over 168 minutes, which she did not.
J. No, the minute difference each week was much greater than 5 minutes.
Answer:
<h2>
(e³ - 1)/3e²</h2>
Step-by-step explanation:
Given the function y = e^x between the interval x = -2 and x =1, the average rate of change for the function will be the slope of the function expressed as m = Δy/Δx where;
Δy = f(b)-f(a) and Δx = b-a
m = f(b)-f(a)/b-a where a and b is the interval [-2, 1]
m = f(1)-f(-2)/1-(-2)
m = f(1)-f(-2)/3
Given the function f(x) = e^x,
at the end point x = b, f(1) = e^1; f(1) = e
at the end point x = a, f(-2) = e^-2; f(-2) = 1/e²
m = (e - 1/e²)/3
m = [(e³ - 1)/e²]/3
m = (e³ - 1)/e² * 1/3
m = (e³ - 1)/3e²
Hence, the average rate of change for the function at the interval [-2, 1] is (e³ - 1)/3e²
Answer:
12.
Step-by-step explanation:
We have been given format of different numbers. We are asked to find the missing value for our given format.
Taking square root of 9 and 16 we will get,
Similarly, we can see that by taking the square root of all the on the left side of equation and adding them we get right side of equation.
Upon taking square root of 25 and 49 we will get,
Therefore, the missing number of our given sequence is 12.
Answer:
9 students have braces
Step-by-step explanation:
honestly, you could just probably solve it mentally but we are going to make a proportion.
5*3 = 15; so you then multiply 3 by 3 and get 9 as your final answer