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miv72 [106K]
3 years ago
10

What is the equation of a line that passes through the origin and is perpendicular to the line 2y=4x-6y+4?

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

y = - 2 x

Step-by-step explanation:

The catch to this one (and there is a catch) is that the y intercept is at 0,0.

All you need is the slope and that means you have to solve the equation for y

2y = 4x - 6y + 4     Add 6y to both sides

2y + 6y = 4x + 4    Combine terms on the left

8y = 4x + 4            Divide by 8

y = 4x/8 + 4/8       Reduce 4/8 to 1/2

y = 4x/8 + 1/2

y = 1/2 x + 1/2

Nowyou are all set to answer the question.

m1 * m2 = - 1

m1 = 1/2  because the coefficient in front of the x is the slope (5/8 in this case). m1 and m2 are both slopes.

1 /2 * m2 = - 1        multiply both sides by 2

(1/2)*(2)*m2 = -1 * (2)

m2 = - 2

The slope of the equation you want is - 2

y = -2 x is the answer

The graph below shows the two equations.

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Nikolay [14]

Answer:

The answer is the letter B.

The first column represents the x-values, and the second row represents the y-values.

For that reason, if we have:

2x - 7y = -1

x + 3y = -5

Then, the matrix will be given by:

[ 2      -7

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Then, the third colum will be the equality:

[ -1

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So the correct option is the letter B.

3 0
3 years ago
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Solve each inequality then graph the solution
Artist 52 [7]

Answer:

a is x>3

b is _> x/4 +12

c is x>-3

Step-by-step explanation: hope this helps

4 0
3 years ago
It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
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Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

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Time taken to cover the distance =4\text{hours} and 15\text{minutes}

We know that,

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

                                          =\frac{1114}{\frac{17}{4}}

                                          =\frac{1114\times4}{17}

                                          =262.12 \text{mph}

It is given that,

1\text{mile}=1.6\text{kilometer}

therefore,

1\text{mph}=1.6\text{kph}

Speed Of plane in Kilometers per hours =\text{speed in mph}\times1.6

                                                                   419.4\text{kph}

Speed of in miles per hour  is 262.12 \text{mph} and Speed in kilometer per hour  419.4\text{kph}

3 0
3 years ago
Jonah finished 24 math problems in
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Answer:

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Answer:

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