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Andreyy89
3 years ago
14

Find the value of r so that the line that passes through each pair of points has the given slope (6,r) (3,3) m=2

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{r})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{r}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}~~=~~\stackrel{\stackrel{m}{\downarrow }}{2}\implies \cfrac{3-r}{-3}=2\implies 3-r=-6 \\\\\\ -r=-9\implies r=\cfrac{-9}{-1}\implies r=9

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ANTONII [103]
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For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
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4 0
3 years ago
3y - 21 = 12x<br> Help please
Irina18 [472]
Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
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Divide each side by 3
Y=7+4X

Simplifying
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I hope this helps!! :)
3 0
3 years ago
There are 13 brunettes and 7 blondes in a Spanish class. The teacher selects two students to run an errand. How many possible ou
Delicious77 [7]

Answer:

91 possible outcomes

Step-by-step explanation:

As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:

number of possibilities of choosing a brunette: 13

number of possibilities of choosing a blonde: 7

Then, the number of possible outcomes is the product of these number of possibilities:

13 * 7 = 91 possible outcomes

8 0
3 years ago
What would you get if you divided a half of a half of a half by a half of a fourth of a half?
BartSMP [9]
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3 years ago
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B; make sure to make the denominators equal before adding

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3 years ago
Read 2 more answers
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