Answer:
The answer is C
Step-by-step explanation:
B
7x^2(9x-4)= 63x^3-28x^2
9X(9X-4)= 81X^2-36X
7(9X-4)= 63X-28
63X^3-28X^2+81X^2-36X+63X-28
Answer:
125 times larger
Step-by-step explanation:
Let's say the radius is 3, just as an example.
The formula of a sphere is V=4/3 pi r^3
Then we can just substitute and test it out.
V=4/3 pi (3)^3
V=4/3 pi (27)
V=36 pi
Then multiple the previous radius by 5 to test it out.
V=4/3 pi (15)^3
V=4/3 pi (3375)
V=4500 pi
Then divide the bigger one by the smaller one
You will get 125, therefore it is 125 times larger
hope this helps :D
We know that the x-ordinate of the vertex is x = 4, because the x-ordinate of the vertex will not change.
Now, the definition of a parabola in locus terms is that for any fixed point that lies on the parabolic shape, it is equidistant from the directrix to the fixed point and the focus to the fixed point.
Thus, we can deduce that:
PS = PD, where P(x, y) is a moving point that lies on the parabola.
Now, we know that the latus rectum will be -4a, because the directrix is higher than the y-ordinate of the focus. Thus, we can say that the vertex will be the midpoint of the two points y = 7 and y = 8, because that is the only place where the definition of a parabola works.
Hence, we can say that the vertex lies at (4, 7.5).
Thus, our general form becomes:
(x - 4)² = 4a(y - 7.5)
To find a, we can say: 7 = 7.5 + a and 8 = 7.5 - a
a = -0.5, because a is the factor in which we move to find the directrix and focus.
Thus, our equation becomes: (x - 4)² = -2(y - 7.5)
Answer:
-100
Step-by-step explanation:
−48−36−16
=−84−16
=−100