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3 years ago

Write the ordered pair that represents YZ. Then find the magnitude of YZ. y(-4,12), Z(1,19).

Mathematics

2 answers:

ki77a [65]3 years ago

6 0

The magnitude of YZ is 8.6

Explanation:

Y( -4, 12)

Z ( 1, 19)

Magnitude of YZ = ?

We know:

$YZ = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

On substituting the value we get:

$YZ = \sqrt{(1+4)^2 + (19 - 12)^2} \\\\YZ = \sqrt{(5)^2 + (7)^2} \\\\YZ = \sqrt{25+49} \\\\YZ = \sqrt{74} \\\\YZ = 8.6$

Thus, the magnitude of YZ is 8.6

Maurinko [17]3 years ago

3 0

Answer:

its <5,7> $\sqrt{74}$

Step-by-step explanation:

when you put it into edge, you can write it as <5,7> sqrt 74

and it will mark it correct.

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This a circle centered at the point $(-6,-5)$ , and of radius "3" as it is shown in the attached image.

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2 years ago

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The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

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And the area of the triangle is:

Area of the triangle = 31.176 units^2

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
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Now, we can replace the values in the formula obtained:

(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
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