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3 years ago

Determine whether the lines are parallel, intersect, or coincide y=1/3x+4 x-3y=-12

Mathematics

1 answer:

adell [148]3 years ago

7 0

The slopes of two lines are equal which means that the lines are parallel.

Further explanation:

The slopes of lines are used to find the relationship between two line.

If two lines are parallel, then their slopes will be equal.
If two lines are perpendicular, the product of slopes of both lines will be -1

The standard form of equation of line is:

$y=mx+b$

The coefficient of x is the slope here.

y=1/3x+4

Let m1 be the slope of first line:

$m_1=\frac{1}{3}$

$x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4$

Let m2 be the slope of second line

$m_2=\frac{1}{3}$

We can see that:

$m_1=m_2$

The slopes of two lines are equal which means that the lines are parallel.

Keywords: Parallel Lines, Perpendicular Lines

Learn more about lines at:

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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3 years ago

Is the ans i got correct? the total surface area is 33.8cm²

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

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Where, a is the side length.

Putting $a=2$ , we get

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The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

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$A_2=(6)5$

$A_2=30$

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2 years ago

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tamaranim1 [39]

Answer:

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Step-by-step explanation:

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Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

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Finally we multiply them together to find the probability of getting two grapes in a row.

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