Answer:
1/ 9^5
Step-by-step explanation:
When dividing exponents with the same base, subtract the exponents
9^2 / 9^7
9 ^ (2-7)
9^ -5
We know that a^ -b = 1/ a^b
1/ 9^5
Answer: y=2x+14
Explanation:
Y=mx+b
Y= 2x-4
M=2
Y= 2x+b
2 = (2 x -6) + b
2=-12+b
12+2=12+b
-12
14=0+b
14=b
Y=2x+14
Answer: The answer is (n = 5r + 10).
Step-by-step explanation: Given that in a theatre, there are 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, etc.
We are to write the linear equation that represents the number of seats 'n' in each row 'r'.
Now,
Number of seats in the 1st row = 15 = 5 × 3 = 5 × (1+2),
number of seats in the 2nd row = 20 = 5 × 4 = 5 × (2+2),
number of seats in the 3rd row = 25 = 5 × 5 = 5 × (3+2), etc...
Therefore, number of seats 'n' in the r-th row is given by the following linear equation -
n = 5 × (r+2), i.e., n = 5r + 10.
Thus, the required linear equation is n = 5r + 10.
Answer:
We kindly invite you to see the result in the image attached below.
The number in polar form is 
.
Step-by-step explanation:
A complex number is represented by elements of the form 
, for all 
, 
. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.
Now we proceed to present the point on the graph: (
, 
) We kindly invite you to see the result in the image attached below.
The polar form of the complex number is defined by:
(1)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number, measured in radians.
The magnitude and the direction of the complex number are defined by the following formulas:
Magnitude
(2)
Direction
(3)
If we know that and , then the polar form of the number is:
The number in polar form is .
