BC I WONT DONT HAVE TO DO MY WORK
Answer:
4
Step-by-step explanation:
since it's all addition, we can remove the parentheses

Now we combine like terms


We subtract both sides by 12 to get,

now we divide both sides by 11


Answer:
1.
Step-by-step explanation:
We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.
Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.
We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.





Therefore, the expression
can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.
The number of unique cookout trays are possible is 500
<h3>How many unique cookout trays are possible?</h3>
The given parameters are:
Main items = 10
Sides = 10
Drinks = 5
The number of unique cookout trays are possible is
Cookout trays = Main items * Sides * Drinks
So, we have:
Cookout trays = 10 * 10 * 5
Evaluate
Cookout trays = 500
Hence, the number of unique cookout trays are possible is 500
Read more about combination at:
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We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D