Answer
Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0.
To prove
The general equation of the circle is
(x - h)² + (y - k)² = r²
Where h,k are the centre and r is the radius.
4x² + 4y² − 16x − 24y + 36 = 0
Divided both side by 4.
x² + y² − 4x − 6y + 9= 0
Add and subtract 4 and 9
x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0
x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0
x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9
using the formula ( a + b )² = a² + b² +2ab
(x - 2)² + (y - 3)² = 2²
Compare this with the general equation of circle.
Thus
h = 2 , k = 3
Option A is correct .
Answer:
<u>9 workers finished the repairs, therefore 9 members of the original crew were removed. </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Original crew scheduled to finish repairing a highway = 18 person
Number of days remaining to finish the work = 10 - 4 = 6 days
Number of days that the rest of the crew finished the repairs = 12 days
2. How many workers were removed from the crew?
We will use Inverse Rule of Three to answer this question because the less workers the crew has the more time it will take them to finish the repairs, as follows:
Workers Days
18 6
x 12
12x = 18 * 6 (Inverse Rule)
12x = 108
x = 108/12
x = 9
<u>9 workers finished the repairs, therefore 9 members of the original crew were removed. </u>
Answer:
Rate of change is slope. (y = mx + b)
A slope of 5 should be 5/1. (5 over 1)
Step-by-step explanation:
Answer:
The value of n in this equation is -3/4
Step-by-step explanation:
5 - (n - 4) = 3 (n + 2)
Distribute the negative to (n - 4) and distribute 3 to (n + 2).
5 - n + 4 = 3n + 6
Add 4 to -5.
9 - n = 3n + 6
Subtract 9 from 6.
-n = 3n - 3
Subtract 3n from n.
4n = -3
Divide 4 by -3.
n = -3/4
