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barxatty [35]
3 years ago
5

What is the equation of the line that is parallel to the given

Mathematics
1 answer:
frez [133]3 years ago
7 0

Answer:

<h2>y = 1/5x + 4</h2>

Step-by-step explanation:

We need to find the equation of the line parallel to the given line. To do this, we first need to understand what parallel lines are.

Rule 1: Parallel lines are two lines that never cross.

Let's solve!

To solve, we need to know what the slope of the line should be as we are already given the point it should pass through. to do this, we need to use a rule.

Rule 2: The slopes of parallel lines are always the same.

Slope = change y / change x

-4 - -3 (-4 + 3) = -1

-5 - 0 = -5

Slope = 1/5

Now, we can construct our equation

y = mx + b

y = 1/5x + 4

Since none of the answers are this, I assume you meant perpendicular instead. In that case, the answer would be, since the slope would be an opposite inverse of the original line, -5x + 4.

I'm always happy to help :)

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Step-by-step explanation:

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3 years ago
The quotient of a number t and 4.2 is at most 15.​
frosja888 [35]

Answer:

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Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

\dfrac{t}{4.2}\leq  15 <em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>

<em></em>

On solving the inequality for the variable t

\dfrac{t}{4.2}\leq  15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq  15 * 4.2\\\\t \leq 63

<em>Hence t is at most 63</em>

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Darina [25.2K]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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