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babymother [125]
3 years ago
11

What is the distance between (8, -3) and (4, -7)?

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>√</em><em>3</em><em>2</em><em> </em><em>units</em><em>.</em>

<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>solution</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

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Find the value of x picture attached
aev [14]

Answer:

<em>x = 10</em>

Step-by-step explanation:

These angles are <em>same side interior angles</em>.

This means that (11x + 10) + (10x - 40) = 180

Solve for x:

11x + 10 + 10x - 40 = 180

21x - 30 = 180

      +30     +30

21x = 210

/21      /21

<em>x = 10</em>

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3 years ago
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7 0
3 years ago
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A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 15° with the horizontal. The flagpole
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2 years ago
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statuscvo [17]

Answer:

(x-230)^2+(y-220)^2=6100

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius. Immediately, since the center of the circle is given, we know what h and k are. h is 230 and k is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that d=\sqrt{x^2+y^2}, where x is the change in the x-coordinates of the two points and y is the change in the y-coordinates of the two points. Plug-in x for 60 and y for 50 to get d=\sqrt{50^2+60^2}. Solve for d, arriving at \sqrt{6100}. Therefore, the radius of the circle is \sqrt{6100}.

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for h, 220 for k, and \sqrt{6100} for r.

The equation of the circle will be (x-230)^2+(y-220)^2=6100.

Hope this helps :)

4 0
2 years ago
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