Answer:
x² + y² + 4x - 2y + 1 = 0
Step-by-step explanation:
The equation of a circle is given by the general equation;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.
In this case; the center is (-2,1)
We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)
Radius = √((-4- (-2))² + (1-1)²)
= 2
Therefore;
The equation of the circle will be;
(x+2)² + (y-1)² = 2²
(x+2)² + (y-1)² = 4
Expanding the equation;
x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;
x² + 4x + y² - 2y + 4 + 1 -4 = 0
= x² + y² + 4x - 2y + 1 = 0
Answer:
m = 3/4; b = -3
Step-by-step explanation:
1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:
2) Lines that are in slope-intercept form are represented by the formula 
. The number in place of 
, or the coefficient of the x-term, represents the slope. The number in place of 
represents the y-intercept. So, the slope of 
is 
, and its y-intercept is -3.
Answer:
see below
Step-by-step explanation:
To check your solution , plug the value of k into the original equation
6(7k-10) =24
k=2
6(7*2-10) =24
6(14-10) =24
6(4) =24
24=24
The solution is correct
Answer:
the ratio would be 6.75:4.5:3:2
Step-by-step explanation:
replace d and c with
d=2 and c=3
Then using proportion multiplication, you will find that b is 4.5
now replace all b with 4.5.
Then again using proportion multiplication, you will get a is 6.75.
Plug in a, b, c, d in the ratio and you get 6.75:4.5:3:2
