9514 1404 393
Answer:
(x, y) = (2, -6)
Step-by-step explanation:
Subtract the first equation from the second.
(8x -2y) -(5x -2y) = (28) -(22)
3x = 6
x = 2
Substitute this into either equation and solve for y.
8(2) -2y = 28
8 -y = 14 . . . . . . . . divide by 2
y = 8 -14 = -6 . . . . add y-14 to both sides
The solution is (x, y) = (2, -6).
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I like a graphing calculator for a quick solution to such problems.
Answer:
1. true 2. true 3.true 4. false 5. false
Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4
Three times the difference between t and y, if you don't know the values of either variable, is 3(t-y).
It’s b because n equals weeks so after the first week he has given back five dollars because 5 time 1 is 5.
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
