Answer:
This is a circle with centre (6,-7) and radius 4.
Step-by-step explanation:
The equation of a circle has the following format:
In which r is the radius(half the diameter) and the centre is the point
In this question:
So
The radius is the positive value.
So this is a circle with centre (6,-7) and radius 4.
Answer:
The y coordinate of point D after translation is 1.
Step-by-step explanation:
If the coordinates of the point D' are (x, y), then, after translation, it will be
D(x + 6, y - 4).
that is 6 units right and 4 units down
It is given that the point before translation is D'(3, 5).
So, x + 6 = 3 + 6 = 9 and
y - 4 = 5 - 4 = 1
So, the y coordinate of point D after translation is 1.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The Total Cost formula for the Dealership is
$24 + ($99/hr)h, where h represents the number of hours of labor performed.
That for the Local Mechanic is
$45 + ($89/hr)h
We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:
24 + 99h = 45 + 89h
Combining like terms, we get:
21 = 188h
Solve for h by dividing both sides by 188:
h = 188/21 = 8.95
The two bills would be equal 8.95 hours after commencement of the work.
<em>Part b</em>:
Dealership: $24 + ($99/hr)h. Evaluate this at 8.95 hrs: $910.05.
The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.
The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.
$24 + ($99/hr)(8.95 hr) =
Answer:
R=7/20
Step-by-step explanation:
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4