Answer:
Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
Answer: 2 more calories skiing
Step-by-step explanation:
First find the slope of each line.
Slope of Skiing:
= (Y₂ - Y₁) / (X₂ - X₁)
= (400 - 240) / (50 - 30)
= 8
= 8 calories per minute
Slope of Hiking
= (360 - 120) / (60 - 20)
= 6
= 6 calories per minute
Difference:
= 8 - 6
= 2 more calories skiing
Answer:
The linear relationship is represented by y = 2x + 3.
Step-by-step explanation:
We are given a y-intercept of an equation as well as a slope:
We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:
In this formula, m is our slope and b is our y-intercept.
Therefore:
Finally, let us substitute these into the equation:
This is our final equation.
Answer:
ok what must you do
Step-by-step explanation:
Answer:
AC ≈ 7.8 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )
AC = 
= 
= 
= 
= 
≈ 7.8 ( to 1 dec. place )
