Answer:
A
Step-by-step explanation:
A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).
The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.
For an equation that represents a proportional relationship, it is written in the form of y = kx
Where, k is the constant of proportionality.
Therefore, the two equations given represents a proportional relationship.
Answer:
4π
Step-by-step explanation:
-A circle subtends a total angle of 360 ° from its center.
-The length of an arc is directly proportional to the angle it subtends from the circle's center.
#The arc's length can therefore be calculated as:

Hence, the length of the arc is 4π
The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
The scientific notation is a method that scientists use
to easily handle very large numbers or very small numbers. As an example,
instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9
in scientific notation. The number of places the decimal point got moved
becomes the exponent of the number 10. When the movement is from left to right,
the exponent is negative (for very small numbers). When it is right to left,
the exponent is positive (for very large numbers).
Therefore writing estimated measurements in scientific
notation:
length of a grain of salt : 0.0002 centimeters = 2 x 10-4
centimeters
width of a key ring : 0.02 centimeters = 2 x 10-2
centimeters
The number added to the polynomial by completing the square is 
Explanation:
Given that the polynomial is 
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 17 by 2 and then squaring the term.
Thus, we have,
Last term = 
Now, squaring the term, we have,
Last term = 
Thus, the number added to the polynomial by completing the square is 