Answer:
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have
Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
If you graph the two equations then you will find that they intersect at (-2,-2).
You then have to check your answer.
x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2
x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4
Answer:
f(5) = 22
f(9) = 34
Step-by-step explanation:
Plug in 5 and 9 separately for the equation of the x values. Multiply them each and add 7 to get these values 22 and 34.
Step-by-step explanation:
Circumference
C = 3.14x3
C = 9.42cm
Area
A = 3.14xr²
A = 3.14x25
A = 78.5ft
Answer:
2.8
Step-by-step explanation:
tan = opposite / adjacent
( opposite = side opposite of the angle and adjacent = side length that is not the opposite nor the hypotenuse ( longest side ) )
we are given an angle, ∠E = 26°
tanE = x / 5.7
tan26 = x / 5.7
==> multiply both sides by 5.7
5.7tan26 = x
==> simplify
x = 2.8 ( rounded )
