The answer is x is greater than or equal to 8, so the line goes to the right with a closed circle.
Answer: The slope of the line is 15 and y-intercept is 12.
Step-by-step explanation: We are given to find the slope and y-intercept of the straight line defined by the points (3, 57) and (5, 87).
We know that
the slope of a line passing through the points (3, 57) and (5, 87) is given by
Since the straight line passes through the point (3, 57), so its equation will be
So, the required equation of the straight line is 
Thus, the slope of the line is 15 and y-intercept is 12.
Answer:
3.11 miles
Step-by-step explanation:
Hello!
First we have to get the distance into meters
The problem says there are 5 kilometers in a race and 1000 meters in a kilometer so 5 kilometers is 5000 meters
Now we turn the meters into miles
It says a mile is about 1609.34 so we can divide the amount of meters by how many meters are in a mile
5000/1609.34 = 3.106
Round to the nearest tenth
3.106 ⇒ 3.11
The answer is 3.11 miles
Hope this helps!
Answer:
Option 2: (x-4)^2 + (x-5)^2 = 4
Step-by-step explanation:
The given circle's center is: (4,5)
And the radius is 4 units.
We are told in the question that the center will remain same only the radius will be changed.
The center is denoted by (h,k) = (4,5) and radius is 2
Standard equation of circle is:
(x-h)^2 + (y-k)^2 = r^2
So the equation of another circle with same center and radius of 2 units will be:
(x-4)^2 + (x-5)^2 = 2^2
(x-4)^2 + (x-5)^2 = 4
Hence option 2 is correct ..
