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Elena-2011 [213]
3 years ago
8

What is the slope of the line that contains the points (-2, 7) and (2, 3)?

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

m= ( y2-y1)/(x2-x1)

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

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What is the value of sin 0 given that (3-4) is a point on the terminal side of 0
Effectus [21]

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

<h3>How to get the sine of the angle?</h3>

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

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Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

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8 0
2 years ago
Which of the following sets of values correctly completes the t-chart for the equation y = 2x2 - 1. image below
Inessa [10]

Answer:

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8 0
3 years ago
Write the simplest polynomial function with the given roots 2i, square root of 3, and 4
Volgvan

Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3)      <<< Possible answer

but this can be reduced even further.

  • (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
  • (x + 2i)(x - 2i) = x^2 - 4(i)^2
  • (x + 2i)(x - 2i) = x^2  + 4.               Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

5 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?
adoni [48]

Answer:

36 sqaured feet

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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