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hammer [34]
3 years ago
8

To the nearest hundredth, what is the length of line segment AB ?

Mathematics
2 answers:
alina1380 [7]3 years ago
6 0

Answer:

Option (d) is correct.

The length of the given line segment is 8.25 units.

Step-by-step explanation:

Given : A graph showing a line segment.

We have to determine the length of the given line segment.

Since, the end coordinate of the line segment is (2,2) and (-6,4)

We will calculate the distance between the end points to find the length of the line segment.

Distance can be calculated using distance formula

D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

Here, \left(x_1,\:y_1\right)=(2,2),\:\left(x_2,\:y_2\right)=(-6,4)

Substitute, we have,

=\sqrt{\left(-6-2\right)^2+\left(4-2\right)^2}

Simplify, we have,

=2\sqrt{17}=8.246

Thus, The length of the given line segment is 8.25 units.

NemiM [27]3 years ago
4 0
The answer is 8.25 units

I took the test :)
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Answer:

a²- b²=(a+b)(a-b)

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3 years ago
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
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Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

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The shortest side of a right triangle measures 11m. The lengths of the other two sides are consecutive integers. Find the length
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Interesting question.  Let the 2 unknown sides be x and x+1.
Then (11 m)^2 + x^2    = sum of the squares of the 2 shortest sides
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121 + x^2 = x^2 + 2x + 1.  Then 121 = 2x + 1, and 2x = 120, or x = 60.

Then the hyp. has length 60+1= 61.

We must check these results.  Using the Pyth. Thm. (a^2 + b^2 = c^2),

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The longer side is 60 and the hyp. has length 61. 
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Answer:

Step-by-step explanation:

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