Answer:
The correct answer is B.
We have 4 / 10 = ( 2 x 2 ) / ( 2 x 5 );
6 / 15 = ( 3 x 2 ) / ( 3 x 5 );
8 / 20 = ( 4 x 2 ) / ( 4 x 5 );
Step-by-step explanation:
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
Hello! For these types of inequalities, we put what’s in the middle to solve for the one behind and ahead. -3x + 12 is in the middle. Let’s solve it like this: x + 4 < -3x + 12. Add 3x to both sides to get 4x + 4 < 12. Subtract 4 from both sides to get 4x < 8. Divide each side by 4 to isolate the “x”. 8/4 is 2. x < 2. Now, let’s solve the other like this: -3x + 12 < 24. Subtract 12 from both sides to get -3x < 12. Divide each side by -3 to isolate the “x”. 12/-3 is -4. Because you divided by a negative, you flip the sign over into greater than. The solution to the compound inequality is -4 < x < 2, but none of the choices show that. In this case, the part of the solution is x < 2, so if you had to pick from one of the answers, the answer is C.
Answer: C
Step-by-step explanation: Rational Functions Practice
