That is the formula to find the volume of a sphere. It's best to just memorize it as it is hard to come up with. The (4/3) is a constant (it is always that fraction). Pi is also a constant but it is a never ending decimal number so they use the Greek number pi to represent it. Most schools use 3.14 to equal pi but some just use 3 so be sure to check with your teacher. The r here is referring to the radius of the sphere which is the measurement from the center out to the edge. To find the volume you need to multiply (4/3) times Pi times (the radius squared)
Answer: X=5/4 Y=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The standard form of a circle is
If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:
and
so
Our circle's equation is
Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:
Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because
If the inequality < were true then the point would lie inside.
Answer:
Step-by-step explanation:
You can tell by looking at the form of each equation.
y = tx
This is a straight line that passes through the origin, so it symmetric with respect to the origin.
y = x²+1
This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.
y = x²+x = (x+½)² - ¼
This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.
Can't tell what "y = (1 + x2)3" means. Which terms are exponents?