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tangare [24]
3 years ago
5

Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-3,-6) and (2,-2). So, the equation of line is

y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))

y+6=\dfrac{-2+6}{2+3}(x+3)

y+6=\dfrac{4}{5}(x+3)

y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)

Subtract 6 from both sides.

y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6

y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}

y=\dfrac{4}{5}(x)+\dfrac{-18}{5}

y=\dfrac{4}{5}(x)-\dfrac{18}{5}

Therefore, the equation of line is y=\dfrac{4}{5}(x)-\dfrac{18}{5}.

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GrogVix [38]

<u>Answer</u>

48


<u>Explanation</u>

The product of the secant and the extension of the chord is normally equivalent to square of the tangent.

From the diagram given,

The length of the secant = 2+6

                                          = 8

Length of the extension of the chord = 6

length of the tangent = x

∴ x² = 8 × 6

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Serga [27]

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Step-by-step explanation:

9*4=36 and 9*1=9

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36*1=36 and 9*4=36

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3 years ago
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136

Step-by-step explanation:

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Step-by-step explanation:

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balu736 [363]

Answer: D. This was a random sample. It may have included anyone in attendance.

Step-by-step explanation:

The options are:

A. This was a biased sample. Jim should interview all in attendance.

B. This was a census. Any guest may have participated.

C. This was a random sample. It may not have included anyone in attendance.

D. This was a random sample. It may have included anyone in attendance.

A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.

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