Since they are moving in opposite directions, this is the same as Amy staying still and Erica biking at 10 meters per second away from her.
To travel 1km = 1000m at 10 meters per second, you need 1000/10 = 100 seconds.
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
Answer:
4.58 miles
Step-by-step explanation:
The Pythagorean theorem is used to answer such questions. It tells you the relation between the side lengths is ...
AC² = AB² +BC²
In miles, ...
5² = AB² + 2² . . . . . . . fill in the given numbers
25 -4 = AB² . . . . . . . . subtract 2²
√21 = AB ≈ 4.58 . . . . . take the square root
The distance in miles from A to B is about 4.58.
Answer: x=0.050
Step-by-step explanation:
I think what you mean is:
Then using our rules of exponents, this is the same as
