You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5
(x + 3)² + (y - 12)² = (5)² ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
</span>
x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
x² + 6x + y² - 24y + 128 = 0 is your equation. reorder it so that it's from the highest degree to the lowest: x² + y² + 6x - 24y + 128 = 0 is your result (C).
Answer:
3.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
unimodal skewed
Answer:
The slope of a straight line equals the change in the value on the <u>Vertical</u> axis <u>Divided</u> by the change in the value of the other axis measured between any two points on the line.
Step-by-step explanation:
Consider the provided information.
The slope of a straight line can be calculated as:
Where, Rise is the the change in the value on the vertical axis which is divided by the Run. Run is the change in the value of the other axis.
Therefore, the complete sentence is:
The slope of a straight line equals the change in the value on the <u>Vertical</u> axis <u>Divided</u> by the change in the value of the other axis measured between any two points on the line.
