Remember, the number of subsets of a set is 2
, where n is the number of elements in the set. Thus, it is 2³ = 8. If you want a proof for that, ask in comments below.
while excluding 0, the product and quotient is positive if operating between same sign, otherwise if we operating different sign will resulted negative.
Answer:
(x + 1)^2 + (y - 1)^2 = 74
Step-by-step explanation:
By looking at the graph, we can see the center of the circle is (-1, 1).
Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:
r = √([-1-6]^2 + [1-(-4)]^2)
r = √(49 + 25)
r = √74
The equation of a circle is denoted in the form:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can plug in the values we calculated:
(x + 1)^2 + (y - 1)^2 = 74
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Answer:
x=33
Step-by-step explanation:
