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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.
<h3>How to calculate how much paint you need to make 3 gallons of Pink paint?</h3>
To mix 3 gallons of pink paint we must take into account the following information:
- 1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.
To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.
Red paint:
White paint:
Based on the above, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.
Note: This question is incomplete because the graph is missing. Here is the graph.
Learn more about painting in: brainly.com/question/25795412
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<span>Let X be the number of success in n trials. X has the binomial distribution with n = 4 trials and success probability p = 0.1666667 .</span>
