Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.
Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.
Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:
The distance between these 2 points is 13.
<span>(x – h)</span>2<span> + (y – k)</span>2<span> = r</span><span>2
h is your x value and the opposite of k is your y value. r is the radius
so, in the first equation, your center would be (-4,2) and the radius would be 5 because you take the square root of r
So plot (-4,2) and count 5 units left, right, up, and down from that point.
Do the same thing for the second circle. The center is (2,-1) and the radius is 5.6 units
The other graphs are pretty much the same way.
For number 7, plot the center and the other set of coordinates. Count the distance between the center and that point and that is your radius
For number 6, plot the center, and to get the radius, take half of the diameter.
For the last one you have to use the distance formula</span>
Answer:
y = mx + b
Step-by-step explanation:
Use that form to find the slope.
Answer:
20π ft
Step-by-step explanation:
Formula: C=2πr, where C is the circumference and r is the radius.
r=10 ft.
C=2*π*10
=20π ft.
Thats a tough one :/ good luck
