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Ad libitum [116K]
2 years ago
15

Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?

Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
6 0
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
lisabon 2012 [21]2 years ago
3 0

Answer:- The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.

Explanation:-

The x -axis is a horizontal line with the equation y=0. Its slope is 0

The y -axis is a horizontal line with the equation x=0 . Its slope is not defined.

y=-6 is a horizontal line and is parallel to x axis.

∴Its slope is 0. [slope of parallel lines are equal]

x=1/6 is a vertical line parallel to y-axis.

∴ Its slope not defined. [slope of parallel lines are equal]

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Answer:

Option B.

Step-by-step explanation:

It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.

RT is altitude on side SQ, ST=9, TQ=16 and SR=x.

In ΔSRQ and ΔSTR,

m\angle S=m\angle S           (Reflexive property)

m\angle R=m\angle T           (Right angle)

By AA property of similarity,

\triangle SRQ\sim \triangle STR

Corresponding parts of similar triangles are proportional.

\dfrac{SR}{SQ}=\dfrac{ST}{SR}

Substitute the given values.

\dfrac{x}{9+16}=\dfrac{9}{x}

\dfrac{x}{25}=\dfrac{9}{x}

On cross multiplication we get

x^2=25\times 9

x^2=225

Taking square root on both sides.

x=\sqrt{225}

x=15

The value of x is 15. Therefore, the correct option is B.

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Answer:

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What is the square of the longest side?

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Does the window frame form right triangles?

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<span>3x – 4y = 21
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B. (−1, −6)
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C. (7, 0)
<span>3(7) - 4(0) = 21
</span>21 = 21>>>>>>>>>>equal

D. (11, 3)
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