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:
∠CBD = 4(4) + 52°
= 16° + 52°
<u>= 68°</u>
Step-by-step explanation:
Given that,
∠ABC = 8x - 10°
∠CBD = 4x + 52°
Also,
∠ABD = 90°
∠ABD = ∠ABC + ∠CBD
∠ABD (90°) = (4x + 52°) + (8x - 10°)
∠ABD (90°) = 4x + 52° + 8x - 10°
∠ABD (90°) = (4x + 8x) + (52° - 10°)
∠ABD (90°) = 12x + 42°
90° - 42° = 12x
48° = 12x
= x
4° = x
∠CBD = 4x + 52°
∴ ∠CBD = 4(4°) + 52°
= 16° + 52°
= 68°
Please send a picture of the figure
First of all , divide 612 by 36
Then the same with Charles
Then subtract your Anwsers then that should do it
Answer:
1%
Step-by-step explanation:
24(400) = 9600 = total amt paid
9600 - 8000 = 1600 = amt of interest paid
I = PRT T = 2 yr
1600 = 8000(2)R
1600 = 16000R
1600/16000 = 1/10 = .01 = 1%