I believe 4/13 is the bigger number because 0.36>0.3
I suggest using a calculator to check but I believe 3/10 is the rational number because it terminates and doesn't repeat
Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
Answer:
x = -(3 y)/2
Step-by-step explanation:
Solve for x:
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = 0
Simplify and substitute z = x + y.
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = -y - 2 (x + y)
= -y - 2 z:
-y - 2 z = 0
Multiply both sides by -1:
y + 2 z = 0
Subtract y from both sides:
2 z = -y
Divide both sides by 2:
z = -y/2
Substitute back for z = x + y:
x + y = -y/2
Subtract y from both sides:
Answer: x = -(3 y)/2
Answer:
a and c
Step-by-step explanation:
