Parallel because they have the same slope but different y intercepts so different places. Please mark me as brainiest that would be a huge help to me
The sequence is an arithmetic sequence with
a₁ = -4
d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3
an = x
Sn = 437
General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)
We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7
Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x - 4) = 874
xn - 4n = 874
Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.
Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50
The solution is 50
Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches
Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2
Answer: The area of the trapezoid is 303.66 square inches
Answer:
Step-by-step explanation:
Distance=400+200=600km
diplacement=x 200-0km=200km
total distance travelled=400+400=800km
Answer:
3rd
Step-by-step explanation:
