Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
![\large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }](https://tex.z-dn.net/?f=%20%20%5Clarge%20%5Cboxed%7B%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%7D)
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
![\large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%7B%28x%20-%205%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20%28%20-%201%29%29%7D%5E%7B2%7D%20%20%3D%20%20%7B7%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5Clarge%7B%20%7B%28x%20-%205%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%201%29%7D%5E%7B2%7D%20%20%3D%20%20%7B7%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5Clarge%7B%20%7B%28x%20-%205%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%201%29%7D%5E%7B2%7D%20%20%3D%2049%20%7D)
So the answer is B choice.
The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)
Hey there!
First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:
y = 12x-5x-2
y = 7x - 2
Now that we have it in slope intercept form, whenever we have an x intercept, since it is crossing the x axis, there's no y value. We plug in 0 for y:
0 = 7x - 2
2 = 7x
2/7 = x
The x intercept is (2/7, 0)
Hope this helps!
Answer:
B. Divide 124 by 229.
Step-by-step explanation:
Given the table
![\begin{array}{cccc}&\text{Action}&\text{Drama}&\text{Total}\\ \\\text{Male}&105&124&229\\ \\\text{Female}&99&151&250\\ \\\text{Total}&204&275&479\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%26%5Ctext%7BAction%7D%26%5Ctext%7BDrama%7D%26%5Ctext%7BTotal%7D%5C%5C%20%5C%5C%5Ctext%7BMale%7D%26105%26124%26229%5C%5C%20%5C%5C%5Ctext%7BFemale%7D%2699%26151%26250%5C%5C%20%5C%5C%5Ctext%7BTotal%7D%26204%26275%26479%5Cend%7Barray%7D)
The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.
The total number of males ![=229](https://tex.z-dn.net/?f=%3D229)
The number of males that like drama ![=124](https://tex.z-dn.net/?f=%3D124)
So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.
A = 1.5
B = -1/3
C = -4/3
A is a positive so there is only one possibility
B is in between 0 and -1, so it has to be -1/3
C is below -1 and so its the improper fraction