Answer:
A = - 2n - 1
Step-by-step explanation:
A=-3+(n-1)(-2)
<=> A = - 3 - 2(n-1)
<=> A = - 3 - 2n -2×(-1)
<=> A = - 3 - 2n + 2
<=> A = - 1 - 2n = - 2n - 1
![{(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ {(x - 2)}^{2} + {(y - ( - 4))}^{2} = {(5)}^{2} \\ {(x - 2)}^{2} + {(y + 4)}^{2} = 25](https://tex.z-dn.net/?f=%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20%28%20-%204%29%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%285%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%2B%204%29%7D%5E%7B2%7D%20%20%3D%2025)
(h, k) is the point of the circle and since the center and the radius is given, we can the center and the radius in the general formula (the first line I wrote).
Answer:
D. Go-Girls; For every ten games that they played, they only lost 1.
Step-by-step explanation:
They win nine games and lose one
9:1 is the ratio
No, because 7/2 can be simplified to 21/6, and that is not proportional.
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).