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pogonyaev
3 years ago
12

Which of the following is an example of a rational number?

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
<h3>Answer: Choice B</h3>

==================================================

Explanation:

Using your calculator, you should find that

  • sqrt(125) = 11.1803 approximately
  • sqrt(196) = 14 exactly
  • sqrt(207) = 14.387 approximately
  • sqrt(220) = 14.832 approximately

Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.

Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.

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IRISSAK [1]

y-intercept:  Let x = 0 and solve for y:

(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10

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                                The solutions of this quadratic are y = 5 and y = -1.

                                Thus, the y-intercepts are (0, 5) and (0, -1).

Now find the x-intercepts:  Let y = 0 and solve the resulting equation for x:

(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.

Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:

                                                  x = 1 +√6 and x = 1 - √6, so that the x-intercepts

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8 0
3 years ago
Graph a line that contains the point (-7,-4)and has a slope of - 2/3
sergeinik [125]

Hi there! :)

Answer:

Given the information, we can write an equation in slope-intercept form

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Plug in the slope for 'm', the y-coordinate of the point given for 'y', and the

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Solve for b:

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Therefore, the equation of the line is y = -2/3x - 26/3 (Graphed below)

Some points on the line include:

(-7, -4)

(-4, -6)

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(2, -10)

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Stells [14]

Answer:

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The scale factor is 1:250 (can be rewritten as 1/250 or 1 to 250).

1/250 × 212 = 0.848 Meters

Round to the nearest tenth, the scale model will be 0.8 meters.

OR: SET UP A PROPORTION:

\frac{250}{1}  \times  \frac{212}{x}

<em>cross-multiply</em>

<em>250x = 212</em>

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7 0
3 years ago
Read 2 more answers
If the perimeter of an equilateral triangle is 6√3, find its area​
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8 0
3 years ago
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