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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
Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that
Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74
|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26
We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.
Answer:
x = 1
Step-by-step explanation:
Remember that the axis of symmetry is exactly halfway between the x-intercepts. Find the average of -3 and 5 to obtain this x-value: It is:
-3 + 5
x - intercept = ------------ = x = 1
2
Best Answer: The collective unconscious refers to that part of a person's unconscious which is common to all human beings. It contains archetypes, which are forms or symbols that are manifested by all people in all cultures. They are said to exist prior to experience, and are in this sense instinctual. Critics have argued that this is an ethnocentrist view, which universalized Jung's European-styled archetypes into human beings' archetypes.
Less mystical proponents of the Jungian model hold that the collective unconscious can be adequately explained as arising in each individual from shared instinct, common experience, and shared culture. The natural process of generalization in the human mind combines these common traits and experiences into a mostly identical substratum of the unconscious.
For example, the archetype of "the great mother" would be expected to be very nearly the same in all people, since all infants share inherent expectation of having an attentive caretaker (human instinct); every surviving infant must either have had a mother, or a surrogate (common experience); and nearly every child is indoctrinated with society's idea of what a mother should be (shared culture). The amalgam of all these effects could be the source of the shared figure, or archetype, which reportedly appears very nearly the same in most peoples' dreams.
Regardless of whether the individual's connection to the collective unconscious arises from mundane or mystical means, the term collective unconscious describes an important commonality that is observed to exist between different individuals' dreams. It was simply formulated by Jung as a model.
Timothy Leary's 8-Circuit Model of Consciousness includes the collective unconscious as being the 7th circuit, or the neurogenetic circuit of consciousness.
