Using the given formula T = LS
And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:
180 = L x 4-1/2
Solve for L by dividing both sides by 4-1/2:
L = 180 / 4-1/2
L = 40
The length should be 40 inches.
Supposing the line graphed is y = 2x + 3, the equation of the different line is:
y = 4x + 3.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the equation is:
y = 2x + 3
Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:
- Double the slope, hence m = 4.
- Keep the same y-intercept, hence b = 3.
Then, the equation of the different line is:
y = 4x + 3.
You can learn more about the equation of a line at brainly.com/question/24685547
Answer:
Callie and Galen.
Step-by-step explanation:
Find out how many seconds it take for their heartbeat to beat one time.
166 ÷ 120 = 1.383 (Aaron)
88 ÷ 60 = 1.466 (Callie)
48 ÷ 30 = 1.6 (Emma)
22 ÷ 15 = 1.466 (Galen)
As you see, Callie and Galen's are equivalent.
1st find the slope m.
m= (rise)/(run). Look up the graph and notice that the rise is 1 for a run =5
Then the slope will be 1/5
2 lines are parallel if they have the same slope so it's either
y= 1/5 x + 4 or 1/5 x + 12/5
our function is y = mx + b, but we know that m = 1/5
so the equation is y = 1/5 x + b
and we know that the function passes through the point (-2,2)
To calculate b, plug in y= 1/5 x + b , x & y by their respective values:
2 = (1/5) (- 2) + b
2 = - 2/5 + b and b = 12/5, then the equation is Y= 1/5 X + 12/5
