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user100 [1]
3 years ago
5

Tell which property the statement illustrates 5•p=p•5

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

The property illustrated in the given statement 5.p = p.5 is commutative property.

<u>Solution:</u>

We have been given an equation as follows:

5.p = p.5

And we have been asked to find the property this statement illustrates.

The answer to the question is, the statement illustrates commutative property.

The commutative property in math comes from the words "commute" or "move around." This rule states that you can move numbers or variables in algebra around and still get the same answer.

Which satisfies the given statement.

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
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The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

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The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

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Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

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