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BARSIC [14]
3 years ago
9

Find the distance between the points (0, 10) and (–9, 1).

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\\ \sf\longmapsto \sqrt{(-9-0)^2+(1-10)^2}

\\ \sf\longmapsto \sqrt{(-9)^2+(-9)^2}

\\ \sf\longmapsto \sqrt{81+81}

\\ \sf\longmapsto \sqrt{162}

\\ \sf\longmapsto 12.42

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Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4). A) y = 2x + 4 B) y = 2x - 8 C
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Answer:

\large\boxed{D.\ y=-\dfrac{1}{2}x+7}

Step-by-step explanation:

\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================

\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28

\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7

8 0
4 years ago
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Step-by-step explanation:

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The measure of a single angle of a triangle is not enough information to allow you to find any other angle or side length of the triangle. Is there more information or a figure?

If this triangle is a right triangle, and angle C is the right angle, then angle C measures 90.

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We know angle A measures 48.
Angle C measures 90.

48 + m<B + 90 = 180

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