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Sav [38]
4 years ago
10

Can someone plz help me with this plzzzzz

Mathematics
1 answer:
Vladimir79 [104]4 years ago
4 0

Answer:

D. m = \sqrt{3}, n = 1

Step-by-step explanation:

The triangle given is a 30-60-90 triangle. This means that the longer side of the leg is x\sqrt{3} (m), the shorter side of the leg is x (n), and the hypotenuse is 2x.

The hypotenuse is already given as 2, and since the hypotenuse is 2x, to find the shorter side (n), just divide by 2, giving you n = 1.

Now onto the longer side (m); it's represented by x\sqrt{3}, and since x is just 1, all you do is put x in front of \sqrt{3}.

But in this case, x is just 1, so it's like "imaginary," and doesn't need to be written out.

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

<u>Given :- </u>

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<u>To Find</u> :-

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We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

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