Answer:
This is equation of ellipse
Step-by-step explanation:
we are given
We can see that right side is 36
so, we can make right side as 1 by dividing both sides by 36
we can simplify it
we can rewrite it as
now, we can compare it with standard equation of ellipse
we can see that both equations are similar
so, this is equation of ellipse
Answer:
Step-by-step explanation:
A cycle in the graph below is HDGH.
A cycle is where a vertices, or corner, can be traced back to itself. HDGH starts with H and traces back to H on the same line.
<span>(1,625) No
(0,-25) No
(-1,-1) No
Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be
-25^1 = -25
-25^2 = (-25) * (-25) = 625
-25^3 = (-25)*(-25)*(-25) = -15625
and so on, giving 390625, -9765625, 244140625, etc.
But that's a different subject. For the ordered pairs given, let's check them out.
(1,625)
-25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No".
(0,-25)
-25^0 + 1 = 1 +1 = 2.
Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No".
(-1,-1)
-25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25.
And 24/25 is not equal to -1, so also "No".</span>
Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation 
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then
Since the scale factor is 2.4, therefore
From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are
Therefore the coordinates of P' are (4.8,-4.8).
