Answer:
HYPERBOLA
Step-by-step explanation:
We have the statement,
'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.
We know that,
Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.
i.e. From the figure, we see that, the difference of the distance of P from 
and 
is equal to constant 2a.
Thus, the term representing the given statement is HYPERBOLA.
Answer:
f(-3) = 11
Step-by-step explanation:
To evaluate f(-3), substitute x = - 3 into f(x)
⇒
f
(
−
3
) = (
−
3
)^
2 − 3
(
−
3
) − 7
=
9
+
9
−
7
=
11
hope this helps
sorry if wrong
#Virgo2007
Answer:
= -5/4
Step-by-step explanation:
The slope through two points can be found by
m = (y2-y1)/(x2-x1)
= (-4-1)/(3--1)
= (-4-1)/(3+1)
= -5/4
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that 
. If we plug the side lengths in for a and b, we get 
. This can be simplified to 
, or 
. If we root both sides, we find that c is equal to 
, which is slightly more than 7, at around 7.2.
