Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
It should be 185 pounds. Have a GREAT day!!!!! :)
Answer:
It's D. The narrative will change depending on the narrator's tone and point of view.
Step-by-step explanation:
Answer:
The first term is 14
The common difference is -2.5
Step-by-step explanation:
we know that
The rule to calculate the an term in an arithmetic sequence is

where
d is the common difference
a_1 is the first term
we have that
The third term of an arithmetic sequence is equal to 9
so


substitute

----> equation A
The rule to find the sum of the the first n terms of the arithmetic sequence is equal to
![S=\frac{n}{2} [2a_1+(n-1)d]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bn%7D%7B2%7D%20%5B2a_1%2B%28n-1%29d%5D)
we have
The sum of the first 8 term is 42
so


substitute
![42=\frac{8}{2} [2a_1+(8-1)d]](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2a_1%2B%288-1%29d%5D)
![42=4[2a_1+7d]](https://tex.z-dn.net/?f=42%3D4%5B2a_1%2B7d%5D)
----> equation B
Solve the system of equations
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is (14,-2.5)
see the attached figure
therefore

The first term is 14
The common difference is -2.5
perimeter of the sector is the sum of the lengths of all its boundaries.thus the perimeter of the sector is L+2r units. θ 360 × 2 π ( r ) + 2 r That would be the length of the arc in the first part and twice the radius in the second part.