Answer:
BElabora un esquema y resuelve el problema.
Step-by-step explanation:
False
The horizontal translation is from left to right which affects the x-value while the vertical translation is up to down which affects the y-value
Good luck!
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
Use y=mx + b, which is slope intercept form
b = y intercept(when x=0)
m = slope
You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.
we use (6, -8)
y = mx + b
Then, -8 = -3/2(6) + b
-8 = -9 + b
1 = b
Thus,
y = -3/2x + 1
