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ella [17]
3 years ago
13

Find the distance between y=3x+6 and y=3x−2. Round your answer to the nearest tenth.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

These lines are parallel since they both have the slope of 3.  Then it becomes a matter of seeing how far their y-intercepts are from one another.  That is the distance between them, and will be the distance between them for the entire length of each line since parallel lines remain the same distance apart forever.  The first line has a y-intercept of 6 and the second line has a y-intercept of -2.  From 6 to 0 is 6, then add another 2 units to get a grand total of 8 units apart.  Since distance is a measure of length and length will never be negative, we are not subtracting here.  We are simply counting the number of units between each y-intercept.  And it doesn't have to be the y-intercept.  Every point on the first line is 8 units above every point on the second line.

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Answer:

3

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

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3 years ago
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How to solve a polynomial function
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1. A polynomial function is a function that can be written in the form f(x)=anxn +an−1xn−1 +an−2xn−2 +...+a2x2 +a1x+a0, where each a0, a1, etc. represents a real number, and where n is a natural number Here are the steps required for Solving Polynomials by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
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Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Example 2 – Solve: x3 + 5x2 = 9x + 45

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
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Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
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Click Here for Practice Problems

Example 3 – Solve: 6x3 – 16x = 4x2

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
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Example 4 – Solve: 3x2(3x + 4) = 12x(x + 3)

Step 1: Write the equation in the correct form. In this case, we need to remove all parentheses by distributing and set the equation equal to zero with the terms written in descending order.
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Example 5 – Solve: 16x4 = 49x2

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7 0
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