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Law Incorporation [45]
3 years ago
11

Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

  x + y + z = 14

Step-by-step explanation:

If the points are designated A, B, C, then ...

  AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).

That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...

  (1, 1, 1)·(x, y, z) = (1, 1, 1)·A

  x + y + z = 14

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3 years ago
Which of the following statements is true?
MakcuM [25]

Answer:

e. All of these statements are true.

Step-by-step explanation:

The first statement is true because an experiment is actually the process by which an observation is made. Consider rolling a die. It is called an experiment because we observe which side of the die lands facing upwards and that number is noted.

The second statement is also true because a simple event is the one which can not be further decomposed into an event. (Compound events can be decomposed into simple events).

The third statement is also true that an event is the collection of one or more simple events. An event can contain either simple events of compound events which are basically a combination of two or more simple events.

Hence, we can say that <u>all the statements are true</u>.

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4 years ago
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matrenka [14]
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4 0
3 years ago
How is the graph of y = negative RootIndex 3 StartRoot x minus 4 EndRoot transformed to produce the graph of y = negative RootIn
SVEN [57.7K]

Answer:

Multiply by ∛2 and translate the graph to left by 4 units.

Step-by-step explanation:

The initial function given is:

y = -∛(x - 4)

The transformed function is:

y = -∛(2x - 4)

Consider the initial function.

y = -∛(x - 4)

(Represented by Black line in the graph)

Multiply the function by ∛2. The function becomes:

y = -∛(x - 4) × ∛2

y = -∛(2)(x-4)

y = -∛(2x-8)

(Represented by Red line in the graph represents this function)

Translate the graph 4 units to the left by adding 4 to the x component:

y = -∛(2x-8+4)

y= -∛(2x - 4)

(Represented by Blue line in the graph)

3 0
3 years ago
Read 2 more answers
What number am I? If you divide me by 8, the quotient is 3.
bonufazy [111]

<u>Answer:</u>

24

<u>Step-by-step explanation:</u>

Let the number we are looking for = x.

∴ According to the question:

x ÷ 8 = 3

• Multiply both sides by 8:
x = 8 x 3

x = 24

5 0
2 years ago
Read 2 more answers
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