Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
There are 160,934.4cm in a mile.
1ft.= 30.48cm
1 mile= 5280ft.
5280tf.(30.48cm)= 160,934.4cm
Vol. of a rect. prism is V = L*W*H.
Here, that vol. is V = (2.5 ft)(1.5 ft)(4 ft) = 15 cubic feet (answer)
Note: volume (not valume).
Answer:
Sales Tax: $12
Total Price: $312
Step-by-step explanation:
4% of 300 is 12, so that is the sales tax. Then, because it's tax, you add it on the the price before tax to get the total price, 300+12=312.
(hope this helps!)
Answer:
Plot the coordinates on a graph and join them to form a triangle. After doing that, you can count the length of each triangular side and find the sum of the 3 sides. That will be your answer.
