Answer:
The answer is x = -5
Step-by-step explanation:
In order to find the answer, we first have to put the equation into numerical terms.
14x - 8 = 20x + 22
Now we can solve this using the order of operations.
14x - 8 = 20x + 22 -----> subtract 20 x from both sides
-6x - 8 = 22 ----> add 8 to both sides
-6x = 30 -----> divide both sides by -6
x = -5
Xy = 8
x + y = 6
x + y = 6
x - x + y = -x + 6
y = -x + 6
xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4
x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)
or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)
The two numbers that add up to 6 and multiply to 8 are 4 and 2.
Answer:
Twelve tickets cost $30.00
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
To find B and C prime, you must multiply them by .25, or 1/4.
B' =
(-2 x .25),(1 x .25)
I did mine in fraction form, because it will prove to be more useful in future mathematics.
B' = (1/2 , 1/4)
Repeat the process with C.
C' =
(14 x .25),(17 x .25)
C' =
(7/2 , 17/4)
You only need to focus on B and C because you are finding the length of B'C'.
The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.
x2 - x1 = 7/2 - 1/2 = 6/2 = 3 squared = 9
y2 - y1 = 17/4 - 1/4 = 16/4 = 4 squared = 16
16 + 9 = 25
Square root of 25 is 5.
Therefore, the distance is 5.
