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Illusion [34]
3 years ago
15

Lines k and n are perpendicular. If the slope of line k is -6, what is the slope of line n?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Lines k and n are perpendicular

The slope of line k is -6

Fact: The product of slopes of two perpendicular lines = -1

So the slope of line n = -1 ÷ -6 = 1/6

The correct choice is 'D.'

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What is the approximate distance around the half circle with radius 12 centimeters?
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You can find the perimeter of a circle by using the radius.
circumference = 2 \pi r
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4 0
3 years ago
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix ?
oksano4ka [1.4K]

Answer:  The answer is (B).


Step-by-step explanation:  We are given four options and we are to select which matrix can be multiplied to the left of a vector matrix to get a new vector matrix. The order of a vector matrix is either n × 1  or  1 × n.

For (A): The order of the matrix is 2 × 1. If we multiply this matrix by a vector matrix of order 1 × 2, then the resulting matrix will be of order 2 × 2, which is not a vector matrix.

For (B): The order of the matrix is 3  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 3 × 1, which is a new vector matrix.

For (C): The order of the matrix is 2  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 2 × 1, which is a vector matrix of order same as before.

For (D): The order of the matrix is 1  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 1 × 1, which is a not vector matrix.

Thus, the correct option is (B).

5 0
3 years ago
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Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.
sweet [91]

Answer:

None

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We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

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If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

4 0
3 years ago
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