You need three non-collinear points to name a plane.
Non-collinear means "not on the same straight line". So these three points can't all lie on the same straight line. If three points do lie on the same straight line, then it is impossible to generate a single unique plane.
X = low-energy lamp
y = high-energy lamp
1) 4x + 5y
2) 120= 4x + 5y
The monthly cost will be $17.14
Step-by-step explanation:
Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;
<u>Time in minutes (x)</u> <u>Cost in dollars (y)</u>
50 $12.55
102 $ 17.23
Take the values as ordered pairs to represent coordinates for points that satisfy the linear function
(50,12.55) and (102,17.23)
Finding the slope of the graph using these points
slope,m=Δy/Δx
m=Δy=17.23-12.55 =4.68
Δx=102-50=52
m=4.68/52 =0.09
Finding the equation of the linear function using m=0.09, and point (50,12.55)
m=Δy/Δx
0.09=y-12.55/x-50
0.09(x-50)=y-12.55
0.09x-4.5=y-12.55
0.09x-4.5+12.55=y
y=0.09x+8.05
So for 101 minutes , the cost will be;
y=0.09*101 +8.05
y=9.09+8.05 = $17.14
Learn More
Linear functions : brainly.com/question/11052356
Keyword : linear function
#LearnwithBrainly
I believe it’s B . Not 100 percent sure but yeah
Answer:
The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m
The equation would be:
144 x 3.14 - 64 x 3.14 = 251.2
Step-by-step explanation:
First, you need to find out what the whole circle is:
The whole circle is 452.16
Then, find the inner circle :
8 x 8 x 3.14
200.96
Last, subtract the whole by the inner:
452.16 - 200.96 = 251.2
hope this helps!