Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center 
is given by:
In this question, we have that:
The coordinates of the center of the hyperbola are (1,-3)
Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
Answer: 540
Step-by-step explanation:
Given : The owner of a stereo store wants to advertise that he has many different sound systems in stock.
Number of different CD players =6
Number of different receivers= 10
Number of different speakers = 9
We are assuming that a sound system consists of one of each .
Then by Fundamental principle of counting , we have
The number of different sound systems can he advertise = (Number of different CD players)x (Number of different receivers) x(Number of different speakers)
= 6 x10 x 9 =540
Hence, the number of different sound systems can he advertise =540
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point 
with slope m, then the point-slope form of the line is:
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
Therefore, the required point slope form of the given line is .
Answer:
x= 20
Step-by-step explanation:
Solve for x:
(7 x)/10 = 14
Multiply both sides of (7 x)/10 = 14 by 10/7:
(10×7 x)/(7×10) = 10/7×14
10/7×7/10 = (10×7)/(7×10):
(10×7)/(7×10) x = 10/7×14
10/7×14 = (10×14)/7:
(10×7 x)/(7×10) = (10×14)/7
(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:
x = (10×14)/7
14/7 = (7×2)/7 = 2:
x = 10×2
10×2 = 20:
Answer: x = 20
