To add fractions you want to make sure that the bottom numbers are the same so we have to make them the same, but we have to make sure that the fractions are unchanged so we get the correct answer
so if we find out what number that 9,7, and 5 can all multiply into. we find that 9 times 7 times 5 or 315 is the number that will work
so to get them to all be over 315, we must multiply each fraction by a form of 1/1 or x/x or (number)/(same numbe as on top)
so 7/9 times (35/35)=245/315
1/7 times (45/45)=45/315
3/5 times (56/56)=168/315
we add them togther
245/315+45/315+168/315=(245+45+168)/315=458/315
this simplifies to 1 and 143/315
It increases then decreases then becomes constant
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5
To solve problems like this you can either graph or solve mathematically. To do the ladder we need to solve for one variable at a time. So lets cancel one variable out.
Multiply equation 1 by 2
This will give 4x-2y=14
Now we can get rid of y by subtracting 2 from 1
This will give x=9
Plug back in to either equation, i will use equation 2
3(9)-2y=5 simplify
-2y=-22 solve
Y=11
Answer:
(x,y)=(3,1)
Step-by-step explanation:
