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Rus_ich [418]
3 years ago
6

An example of coplaner points

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer

points P , Q , and R lie in the same plane A

Step-by-step explanation:

This tells you that all 3 points are in the same plane, that plane again is A

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Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-17-(-2)}{3-(-9)}=\frac{-17+2}{3+9}=-\frac{15}{12}=-\frac{5}{4}\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-\frac{5}{4}\cdot(x-(-9)) \\ y+2=-\frac{5}{4}\cdot(x+9)_{} \\ y=-\frac{5}{4}x-\frac{45}{9}-2 \\ y=-\frac{5}{4}x-7 \\ f(x)=-\frac{5}{4}x-7 \end{gathered}

So, y is the line which goes through the first and last points of the chart.

To proof that the rest of points go through the line as well, we will evalute each point

\begin{gathered} f(-5)=-\frac{5}{4}\cdot(-5)-7=\frac{25}{4}-7=-\frac{3}{4}\ne-7 \\ f(-1)=-\frac{5}{4}(-1)-7=\frac{5}{4}-7=-\frac{23}{4}\ne-12 \end{gathered}

Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear

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2 years ago
Find each unit rate. $30 for 8 students
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Answer:

One student costs $3.75

Step-by-step explanation:

Unit rate is how much it is for 1 item. In this case, we want to know the cost for 1 student.

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$30/8 = $3.75

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Step-by-step explanation:

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The communitive property is when changing the order of the operands does not change the result. For this equation if you had it as 7 * 5 it would equal 35  and when it is 5 * 7 it would still equal 35.

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