3x-r=-3r+rx
3x=-3r+r+rx
3x=-2r+rx
3=rx-2r/x
there you go buddy...gitty up
First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
Answer:
x = 2
Step-by-step explanation:
A parallelogram is a figure with four sides in total, and two parallel opposite sides.
This means that the opposite sides are equal in length.
For the parallelogram ABCD in this problem, we are told that the length of two opposite sides are:
![15x+5](https://tex.z-dn.net/?f=15x%2B5)
and
![20x-5](https://tex.z-dn.net/?f=20x-5)
The two sides must be equal in order for ABCD to be a parallelogram, so we can write:
![15x+5=20x-5](https://tex.z-dn.net/?f=15x%2B5%3D20x-5)
And now we solve for x: first, we add +5 on both sides,
![15x+5+5=20x-5+5\\15x+10=20x](https://tex.z-dn.net/?f=15x%2B5%2B5%3D20x-5%2B5%5C%5C15x%2B10%3D20x)
Then we subtract 15x on both sides:
![15x+10-15x=20x-15x\\10=5x](https://tex.z-dn.net/?f=15x%2B10-15x%3D20x-15x%5C%5C10%3D5x)
Finally, we divide both sides by 5:
![x=\frac{10}{5}=2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%7D%7B5%7D%3D2)
The distance is sqrt73 or approximately 8.54
It’s difficult to see the exact points in the picture. I’m guessing the points are: (-1, 5) and (2, -3).
I drew a dotted line from each point to visualize the triangle. How much did I move up and left to get the triangle?
I moved up 8 and left 3.
You can also find these numbers by subtracting y2-y1 and x2-x1
-3-5= -8
2-(-1)= 3
Then using the Pythagorean theorem, Plug in the values for sides a and b to find c.