Answer:
Let cost of one bag be Y
8 x Y = $20
So, Y = $2.5
Now cost of 3 bags = 3 x 2.5 = $7.5
Answer:
(3,11)
Step-by-step explanation:
Turn both equations into linear equations:
y=2x+5
y=5x-4
Then, just graph both equations.
Find the point where the two lines intersect. That point of intersection is the solution. That coordinate is (3,11).
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.
Answer:
Rational
Step-by-step explanation:
The number comes to a stop (doesn't keep going), so it would be rational.