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:
Answer:
The y-intercept is -21. The x-intercept is -10.5 or .
(0, -21) and (-10.5, 0)
Step-by-step explanation:
To find the y-intercept, you would plug in 0 for x.
y = -2x - 21
y = -2(0) - 21
y = 0 - 21
y = -21
The y-intercept is -21.
To find the x-intercept, you would plug in 0 for y.
y = -2x - 21
0 = -2x - 21
2x = -21
x = -21/2
x = -10.5 or
The x-intercept is -10.5 or .
7/8
3/10 of 7/8 means 3/10 times 7/8=21/80
1hour=60mins
60 times 21/80=1260/80=15.75
answer is 15.75 mins
Answer:
Step-by-step explanation:
F (x) = 1 – 4x
Calculate the value of f (2)
Subsitution 1-4(2)=1-8=-7
The answer of f(2)=-7
I hope this answers ur question
Answer:
Hi there, you can use Pitagoras relationship to solve this up (Without using any other "tool".
Point A is located wheter in (-6,8) or could be located in (-6,8)
Step-by-step explanation:
Point A is 10 units away from the origin, and its x coordinate is -6, using this information, you can draw a triangle from 0 to -6 (the basis) and using 10 as the hypotenuse, so, you have this equation:
solving for Y variable, you have this
y=±
Note the combined sing ±, meaning that y=8 is a valid answer and that y= -8 is also a valid answer.
Hope It helps