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Nataly_w [17]
3 years ago
6

USING the Midpoint Formula , POINT A is at (-3,-5) and point M is at (-0.5,0). what are the coordinates of point B

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x-3}{2}~~,~~\cfrac{y-5}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(-0.5~,~0)}\implies \begin{cases} \cfrac{x-3}{2}=-0.5\\[1em] x-3=-1\\ \boxed{x= 2}\\ \cline{1-1} \cfrac{y-5}{2}=0\\[1em] y-5=0\\ \boxed{y=5} \end{cases}

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4 0
3 years ago
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Savatey [412]

Answer:

<h2>7x + 3</h2>

Step-by-step explanation:

The circumference of any polygon is equal to the sum of the lengths of the sides of this polygon.

Therefore

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Marizza181 [45]

<em><u>The numbers are ordered from greatest to least is:</u></em>

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<em><u>Solution:</u></em>

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7\frac{7}{8} , 7.5, 7.8, 7\frac{3}{4}

We have to order them from greatest to least

Let us first convert the mixed fractions number to decimals

Mixed fractions to fractions:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

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Similarly,

7\frac{3}{4} = \frac{4 \times 7 + 3}{4} = \frac{31}{4} = 7.75

<em><u>Now the given numbers are:</u></em>

7.875, 7.5, 7.8, 7.75

<em><u>Arrange them from greatest to smallest</u></em>

7.875 > 7.8 > 7.75 > 7.5

<em><u>Thus the order is:</u></em>

7\frac{7}{8} > 7.8 > 7\frac{3}{4} > 7.5

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3 years ago
In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.
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