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Brrunno [24]
3 years ago
8

What all numbers whose absolute value is 6

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:

6, -6

Explanation:

-----

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The are 8 blue bicycles, 6 green bicycles, and 4 yellow bicycles and total they equal 18.
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Which of the following tables represents a quadratic function ? Explain how you know .
Aliun [14]
B, the first differences are not the same , that proves it is not linear. The second set of differences are the same this shows it is a quadratic function.

4 0
3 years ago
The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10
Nutka1998 [239]
If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

{a}^{2} + {b}^{2} = {c}^{2}
Then you have to pose the formula in terms of one of the legs, so:

{a}^{2} = {c}^{2} - {b}^{2}
a = \sqrt{ {c}^{2} - {b}^{2}}
So when you change the letter for numbers you have that:

a = \sqrt{ {58}^{2} - {42}^{2} }

a=40
5 0
2 years ago
5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
3 years ago
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