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3 years ago

What is the direct variation equation if y varies directly with x and y= -12 When x= 6?

Mathematics

2 answers:

Doss [256]3 years ago

7 0

The answer would be A y = -2x

Setler [38]3 years ago

3 0

If y varies directly with x, then the ratio y/x will always be the same. Set it equal to the known values and solve for y.

y/x = -12/6

Cross multiply

6y = -12x

y = -2x

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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

PLEASE ANSWER FAST

Veseljchak [2.6K]

Answer:

I took a picture of your mom and my phone ran out of storage.

4 0

3 years ago

Read 2 more answers

Two possible solutions of are -7 and 1. Which statement is true?

quester [9]

We can plug those values into the equation, and if the answer is incorrect, we'll know if either one is extraneous.

√11 - 2(-7) = √(-7)^2 + 4(-7) + 4

√25 = √25

5 = 5

The first solution, -7, makes the equation true, and so it is not extraneous.

√11 - 2(1) = √(1)^2 + 4(1) + 4

√9 = √9

3 = 3

The second solution, 1, makes the equation true, and so it is also not extraneous.

<h3>The correct option is D, neither solution is extraneous. </h3>

4 0

3 years ago

Solve x/2 - 3 = 7. 5 10 20 40

earnstyle [38]

<span> x/2 - 3 = 7
Add 3 to both sides
x/2=10
Multiply 2 on both sides
Final Answer: B. 20</span>

3 0

3 years ago

Read 2 more answers

Which of the following is known as a simpler form of Euclid's fifth postulate

Deffense [45]

Answer:

A. Playfair's axiom.

Step-by-step explanation:

In a plane, given a line and a point not on it, at most, one line parallel to the given line can be drawn through the point.

- this implies Euclid's fifth postulate.

8 0

3 years ago