Consider the complete question is "The equation of the line
is y=5x+1 and the equation of line
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of
is
.
Equation of
is
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as



...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line
.
On comparing (iii) with (iv), we get slope of line
.
Since,
, therefore, lines
and
and parallel because slope of two parallel lines are always equal.
Hence proved.
Answer:
the first term is a1
the 8th term is a8
the 4th term is a4
we have:

with a1 = 0,002 => a4 = a1.3³ = 2.27 =54
Step-by-step explanation:
So y=mx+b
cost=m(number of pages)+b
cost=y
# of pages=x
so points are
(x,y)
(50,1.55)
(100,2.25)
(150,2.95)
(20,3.65)
so solve for slope/m you do (y₁-y₂)/(x₁-x₂) so
just use any for example
(1.55-2.25)/(50-100)=-0.70/-50=1 times 0.7/50=7/500= (to convet to decimal form) 14/1000=1.4/100=0.14/10=0.014/1=0.014
slpoe is 0.014
y=0.014x+b
input one of the points exg 50 for x and 1.55 for y and solve for b
1.55=0.014(50)+b
1.55=.7+b
subtract .7 from both sides
0.85=b
so the equation is
y=0.014x+0.85
which is C
Answer:
5
Step-by-step explanation:
2y=10+x
y=3x
Equalizing both sides:
10+x=3x
10=3x-x
10=2x
x=5
Answer:
(x+y) / 72
Step-by-step explanation:
Kate needs to read 2 books
she's not sure how many pages are in each book.
Let
Number of pages in the first book = x
Number of pages in the second book = y
Total pages of the two books = x + y
Kate's summer vacation = 72 days
she is planning to read the same number of pages each day of her summer vacation.
Number of pages she will need to read each day = (x+y) pages / 72 days
Number of pages she will need to read each day = (x+y) / 72