Ini untuk tebak-tebakkan, apa jawaban dari Chiki Speedrun? Tolong jawab
Answer (4)
Answer: C and D will be unaffected while E will increase. ;
The equation of a circle is traditionally written as (x-h)² + (y-k)² = r², where (h, k) represent the coordinates of the center and r represents the radius of the circle.
To translate the given equation x² + y² + Cx + Dy + E = 0 into this standard form, we would complete the square to isolate the x's and y's:
x² + Cx + (C/2)² + y² + Dy + (D/2)² = (C/2)² + (D/2)² - E
Therefore, the equation can be rewritten as:
(x + C/2)² + (y + D/2)² = (C/2)² + (D/2)² - E = r²
When the radius of the circle is decreased while keeping the center at the same point, the only part of the equation that changes is r².
The coefficients C and D (related to the x and y coordinates of the center of the circle) would remain the same because the coordinates of the circle's center are not changing.
The coefficient E, which contributes to the value on the right side of the equation (r²), would increase if the radius is decreased since E is subtracted from the sum of (C/2)² and (D/2)² to give the value of r².
The principal relationship is that the radius squared, r^2, must change to reflect the new radius, while the center coordinates (h, k), which are associated with C and D, remain unchanged.
The coefficients C and D remain unchanged when the radius of the circle decreases while keeping the center constant. However, the coefficient E increases because it is dependent on the radius. Thus, as the radius decreases, E becomes larger due to the shift in the equation of the circle.
;
Penjelasan:jawabannya adalah jajanan "JetZ"
