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2 years ago

Which expression means “12 decreased by the product of 9 and a number x"?

Mathematics

1 answer:

Murljashka [212]2 years ago

6 0

Answer:

12-9x

Step-by-step explanation:

Here, we want to write an algebraic expression from the given statement

Let us start with the product of 9 and a number x

What this mean is that we want to multiply 9 and x

That gives 9 * x = 9x

Now, 12 is decreased by this product means we are to subtract 12 from it

we have this finally as;

12-9x

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Ilia_Sergeevich [38]

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

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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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B=-1

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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:

#LearnwithBrainly

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