Answer:
(-2, 2)
Step-by-step explanation:
<u>Given:</u>
- Point A is at (2, -8) and point C is at (-4, 7)
<u>Difference of coordinates:</u>
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
<u>The ratio of AB to AC is 2:1. So:</u>
- AB = 2*AC/3 and BC = AC/3
<u>Then coordinates of point B should be 2/3 from the point A:</u>
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
Answer:
Variable
represents the slope of the equation.
Step-by-step explanation:
Given that the administrative fees that company charge is $3.50.
Also, the Zhao has a bill of $63.25.
The equation used by Zhao is
![63.25=r(800)+3.50](https://tex.z-dn.net/?f=63.25%3Dr%28800%29%2B3.50)
We can compare the equation of a line in the slope-intercept form.
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.
Also, variable
that is the rate per kilowatt-hour (kWh) represents the slope of the equation.
Answer:
A. 0.2222
B. Repeat indefinitely
Step-by-step explanation:
A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 <em>out of </em>the 9, so we have 2 ÷ 9. (see attachment)
The decimal form is: 0.2222.
B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.
Answer:
13
Step-by-step explanation:
500(x-3)=5000
500x-1500=5000
500x=5000+1500
500x=6500 /:500
x=13