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icang [17]
3 years ago
9

Write the equation of a line. parallel to 2x-3y=6 and passing through (-2,5)

Mathematics
1 answer:
Vlad [161]3 years ago
6 0
3y = 2x - 6
y = 2/3x - 2

y = 2/3x + c , ( - 2, 5 )
5 = 2/3 ( -2 ) + c
3c = - 6
c = - 2
y = 2/3x - 2

i am a mathematics teacher. if anything to ask please pm me
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Answer:

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Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

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It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

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An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds,
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Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, d in miles and time t in seconds:

d=0.15t

<em>A. </em>

To find: The speed of airplane in miles per second.

Formula for speed is given as:

Speed = \dfrac{Distance}{Time}

Here, we will have to find the value of \frac{d}{t}.

Dividing the given equation by t, we get:

\dfrac{d}{t}=0.15

d is in miles and t is in seconds.

Therefore, the answer is <em>0.15</em>.

<em>B.</em>

Distance traveled in 30 seconds.

Given that: t = 30 seconds

To find: d = ? in miles

d = 0.15\times 3 = 0.45

<em>C.</em>

The time taken to travel a distance of 12.75 miles.

Given that : d =12.75\ miles

To find: t = ? seconds

12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}

3 0
3 years ago
a contractor needs to buy nails to build a house. the nails come in small boxes and large boxes. each small box has 50 nails and
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Seven huge boxes and two tiny boxes total were bought by the contractor.

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According to the question, a builder needs to purchase nails to construct a house.

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The contractor purchased 5 more large than tiny boxes, hence it is assumed that he purchased a certain number of little boxes.

He purchased (x+5) huge cartons.

So, 50(x) + 350(x+5) = 2590.

50x + 350x + 1750 = 2590.

400x = 2590 - 1750.

400x = 840.

x = 2.1

The bulk of the boxes he bought is 7.

Learn more about liner equation at

brainly.com/question/18762221

#SPJ4

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