Answer:
x = -6.5 y= 3.75
Step-by-step explanation:
Add angle 1 and 2 since they are both alternate interior angles
6x + y - 4 = x - 9y + 1
- x + 9y - x + 9y Subtract x and add 9y to both sides
5x + 10y - 4 = 1
+ 4 + 4 Add 4 to both sides
5x + 10y = 5
-5x - 5x Subtract 5x from both sides
10y = -5x + 5 Divide both sides by 10 to solve for y
y = -1/2x + 1/2
Use this equation to solve for x in the original equations
6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1
6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses
6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation
+ 3.5 + 3.5 Add 3.5 to both sides
6.5x = 5.5x - 6.5
- 5.5x - 5.5x Subtract 5.5x from both sides
x = -6.5
Use the new value of x to solve for y
6(-6.5) + y -4 = -6.5 -9y + 1
-43 + y = -5.5 -9y Simplify both sides
+43 + 43 Add 43 to both sides
y = 37.5 - 9y
+ 9y + 9y Add 9y to both sides
10y = 37.5
y = 3.75
Answer:
4x-y=19, y=4x-19
Step-by-step explanation:
I learned a really quick way to do these in geometry.
Let's use standard form or ax+by=c.
Slope of 4: 4x - y = c.
Passes through point 6,5.
4(6) - 5 = c
c= 24-5
c=19
4x-y=19
y=4x-19
These two have different denominators, so you find the least common multiple. This problem goes to be 2/8+5/8, which equals 7/8。
Answer:
24
Step-by-step explanation:
If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.
Answer:
b. 144.8
Step-by-step explanation:
When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is beneficial to assign different weight on the observations such that the observation closer to the time period being forecast, has higher weight. This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.
The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 = 144.8
