Answer:
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference
The formula for an Arithmetic Sequence is equal to
where
d is the common difference
n is the number of terms
a_1 is the first term of the sequence
In this problem we have
substitute
so
<u><em>Find the first ten terms</em></u>
For n=2 ----> 
For n=3 ----> 
For n=4 ----> 
For n=5 ----> 
For n=6 ----> 
For n=7 ----> 
For n=8 ----> 
For n=9 ----> 
For n=10 ----> 
The sequence is
Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
Answer:70 degrees and 150 degrees
Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.
After that you can model the sum of the angles with an equation:
7x + 15x = 220
22x = 220
x = 10
then you plug in x for each angle 7(10) = 70 and 15(10) = 150
Is it subtract 228? if so then 3-5 equals -2. -2-8 equals -10. -10-228 equals -238
Answer:
The slope of the line is 2.
This means that Jan runs 2 laps every 1 minute.
