Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
The ordered pairs would be (x-2, -y).
Translating a graph to the right subtracts the number of units from the x-coordinate.
Reflecting across the x-axis negates the y-coordinate.
11 days, 21 hours, and 52 minutes have elapsed
(this answer is assuming he would have a normal heart rate of 70 bpm)
First, you would divide 1,200,703 by 70:
1,200,703/70=17,152.9
This is the amount of minutes that have elapsed.
Then, you convert the minutes to hours by dividing by 60:
17,152.9/60=285.8816667 (285 hours and 52 minutes)
This gives you how many hours and minutes have elapsed.
Finally, you calculate the number of days that have elapsed by dividing 285 by 24 (there are 24 hours in a day):
285/24=11.875 (11 days and 21 hours).
Put all of the amounts together to get the final answer:
11 days, 21 hours, and 52 minutes have elapsed
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer: 
Step-by-step explanation:
Let the smallest angle be x.
Then, the middle angle is x+30.
The largest angle is 2x+30.
Angles in a triangle add to 180 degrees, so:
So, the angles measure
