an electrician charges $15 per hour plus a callout chare of €25. Draw a number machine for the electrician's charge
1 answer:
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Answer:
The equation for the circle is:
Step-by-step explanation:
Here, let us assume the two end points of the diameter are:
P (3,-1) and Q (-2,-1)
Now, as we knew diameter is the chord that passer through the center of the circle.
⇒ Mid point of DIAMETER = Center coordinates of the Circle
Let us assume O(x,y) is the center of the line segment PQ.
So, by MID POINT FORMULA:
⇒ The center coordinates of the circle = O(0.5,-1) ...... (1)
Now, RADIUS = Half of DIAMETER
Using DISTANCE FORMULA:
So, Radius = 5/2 = 2.5 units
Now, the equation of circle with radius r and center coordinate ( h,k) is given as:
Substitute r = 2.5 and (h,k) = (0.5,0) we get:
Hence the equation for the circle is:
Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB
Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer
Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3
Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3 <<<<< Slope CD Answer
Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13
Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
x2 = 6 or
x2 = 4
Using y2 = 3x - 13
for x2 = 4
then y2 = 3(4) - 13
y2 = - 1
for x2 = 6
y2 = 3*6 - 13
y2 = 5
Possible Answers for D
D = (4,-1)
D = (6,5)
I've included a graph to show a graphical solution.
Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB
Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer
Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3
Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3 <<<<< Slope CD Answer
Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13
Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
x2 = 6 or
x2 = 4
Using y2 = 3x - 13
for x2 = 4
then y2 = 3(4) - 13
y2 = - 1
for x2 = 6
y2 = 3*6 - 13
y2 = 5
Possible Answers for D
D = (4,-1)
D = (6,5)
I've included a graph to show a graphical solution.
Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.