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marin [14]
4 years ago
6

4 pts What is the equation of the line parallel to y=3x+6 that contains the point (3,9)?

Mathematics
1 answer:
Levart [38]4 years ago
8 0

y=3x

Step-by-step explanation:

Lines that are parallel have the same slope. So we are looking for an equation with the same slope of 3x.

Since we have this information, we can plug in the numbers & solve

y=mx+b

9=3(3)+b

9=9+b

0=b

so the equation would be y=3x

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Answer:y is the variable

Step-by-step explanation:a variable is a letter in an algebraic equation or expression

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3 years ago
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2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that
KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are (x_{1},y_{1})

 and (x_{2},y_{2}) at ratio m_{1}:m_{2} , then

 x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and

 y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

   are A = (3 , 2) and B = (6 , 11)

∴ (x_{1},y_{1}) is (3 , 2)

∴ (x_{2},y_{2}) is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

  the distance of the line AB, and the distance from the point (x , y)

  to point B is 1/3 from the distance of the line AB

∴ m_{1}:m_{2} = 2 : 1

∵ x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5

∴ The x-coordinate of the point of division is 5

∵ y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

6 0
3 years ago
(08.01 mc) sue wants to know how many families in her small neighborhood of 50 homes would volunteer to help at a neighborhood a
Pani-rosa [81]

Answer:

Yes, this is a valid inference because she took a random sample of the neighborhood.

Step-by-step explanation:

As we can see, Sue's survey was perfectly random and without any prejudice.

18% of the families, according to her research, would volunteer at the shelter. According to her, 18% of the local households should be required to volunteer at the animal shelter.

Therefore, given that she chose a representative sample of the area, her conclusion is valid.

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2 years ago
What is 0.5, 3/16, 0.75, and 5/45 from least to greatest
BartSMP [9]

5/45, 3/16, 0.5, & 0.75

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The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an a
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The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups. So the last answer choice is the right one
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