Answer:
-25/36
Step-by-step explanation:
-5/6 x 5/6 = -25/36
There is no way to simplify it.
You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Answer:
17/24
Step-by-step explanation:
This expression simplifies to the following:
-7 15 1 1
---- * ----- - ----- + -----
18 -7 4 8
Reducing the product, we get
15 1
-------- - -----
18 8
and this simplifies further:
5 1
----- - -----
6 8
The LCD is 24. Thus, we have:
20 3 17
------ - ----- = -----
24 24 24
Data set:
31, 31, 32, 33, 35, 35, 35, 36
Median is the middle value of the data set.
Since there is 8 numbers involved, the median is the average of the 4th and 5th number.
(33 + 35)/2 = 68/2 = 34
The median is 34.
Answer:
the slope is -4. it can also be seen as -4/1
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