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
Answer:
The answer is 76.
Step-by-step explanation:
≅ means to be equal to.
☆Angle DGE ≅ EGF.
Therefore, 3x + 8 = 5x - 12
☆Let's solve that equation.
We found the value of x which is 10.
☆Let's Now plug in.
and the other:
☆They asked for what the angle of DGF measured. So we would have to add both sides
☆The answer is 76
Answer: The Answer is going to be B.
Step-by-step explanation:
We can find the distance between each pair of points using the distance formula Sqrt((x1-x2)^2 + (y1-y2)^2),(x1 and x2 are the x ordinates of each point, and y1 and y2 are the y ordinates. Sqrt stands for square root, and ^2 is to the power of two.
Using this we can find the side between 7,6 and 7,1 is 5.
The side between 7,1 and -5,6 is 13
The side between 7,6 and -5,6 is 12
After using the formula we can conclude the side between 7,1 and -5,6 is the longest, and it equals 13. Therefore the answer is B.
Answer:
Step-by-step explanation:
I think u are right
I hope this helps
Coefficient of x is less than 0 then it's across the y axis
So f(x)=2^x ---> g(x) = 2^-x
Then translating it up 5 units, should be g(x) = 2^(-x) + 5
Answer is the last one
g(x) = 2^(-x) + 5
