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Ostrovityanka [42]
3 years ago
9

Determine the period of the following graph:

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

9514 1404 393

Answer:

  2π

Step-by-step explanation:

The first peak is shown at x=π/2. The next peak is shown at x=5π/2. The difference in x-values between repeating parts of the graph is ...

  5π/2 -π/2 = 4π/2 = 2π

The period of the function shown is 2π.

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Melissa wrote an expression equivalent to the one shown. 4x + 8x + 7 + 4.which could be the expression Larisa wrote?
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B  12x+11

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Find the volume of the prism. Write your answer as a fraction.
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Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes
valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

x =\frac{16}{2}

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment \overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}

\overrightarrow{PA}=x+2+3x-14

=4x-12

=4(8)-12 ( since x=8)

=32-12

=20

<h3>∴ \overrightarrow{PA}=20 units</h3>
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3 years ago
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