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deandrehudson18
27.02.2020 •
Mathematics
Allie and Bob run together every Sunday.
Allie can run 4 miles in 32 minutes and Bob can
run 3 miles in 22 minutes? Who can run the faster?
Solved
Show answers
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Ответ:
Bob
Step-by-step explanation:
Allie: 4/32 = 1/8 = 0.125 miles/min
Bob: 3/22 = 0.136 miles/min
Bob is faster
Ответ:
y = 3x - 20
Step-by-step explanation:
First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.
The opposite reciprocal of-1/3 is 3/1 or 3.
So, the slope of our equation will be 3. Our equation so far is:
y = 3x + b.
To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.
-2 = 3(6) + b
-2 = 18 + b
-2 - 18 = b
b = -20
So the equation is,
y = 3x -20.
To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.
-2 = 6(3) - 20
-2 = 18 - 20
-2 = -2