What is the distance between the following points?

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer: You can use the formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ (SEE EXPLANATION)

Step-by-step explanation:

Since the points are not written correctly, I will give you a general explanation about the procedure you should follow in order to find the distance between the two points.

By definition, the distance between two points can be calculated with the following formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As you can observe, if you have two points:

$(x_1,y_1)\\\\(x_2,y_2)$

The steps you must follow in order to solve the exercise, are the shown below:

Step 1. You can substitute the values of $x_1,y_1,x_2$ and $y_2$ into the formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)}$ .

Step 2. You must evaluate in order to find the distance between those two points.

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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$