Direct variation looks like
y=kx, so
k=y/x
<span>(2, 4) k=4/2=2
(5, 10) k=10/5=2
(7, 14) k=14/7=2
(11, 22) k=22/11=2
Answer:A.k=2.</span>
Problem:
The area of the patio of a relative's house is 20 square meters.
The width of the patio is 2 meters.
What is the length of the patio?
Solution:
The area is:
A = (w) * (l)
Where,
w: width
l: long
Clearing l we have:
l = A / w
Substituting values:
l = 20/2
l = 10 meters
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence

<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,

<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first

The formula for sum is:

<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.

Keywords: Arithmetic sequence, Sum of arithmetic sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
expanded form:- 7+2/10+5/100
Step-by-step explanation:
Given:
Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.
To find:
The coordinates of the vertices of triangle A’B’C’.
Solution:
If triangle ABC reflected across y-axis, then




Coordinates of image after reflection across y-axis are 
Then triangle translated 4 units to the left to form triangle A’B’C’.




Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).
Hence, the correct option is B.