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omeli [17]
3 years ago
11

Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

The answer is

<h2>6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

|DE|  =  \sqrt{ ({2 - 8})^{2}  +  ({0 - 6})^{2} }  \\  =  \sqrt{( { -  6})^{2}  + ( { - 6})^{2} }  \\  =  \sqrt{36 + 36}  \\  =  \sqrt{72}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 6 \sqrt{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 8.4852813

We have the final answer as

6 \sqrt{2}  \:  \:  \: or \:  \:  \: 8.50 \:  \:  \:  \: units

Hope this helps you

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<span>1- What is the distance formula?
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2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
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3- simplify the expression, what is the distance between the two points?
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3 years ago
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Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it
LenKa [72]

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}

Multiplying everything by 10x

10 + 2 = x

x = 12

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.

8 0
3 years ago
I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)
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So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

C_x = \dfrac{P_x+Q_x}{2}=\dfrac{-10+4}{2}=\dfrac{-6}{2}=-3

Try to do the same thing with the y coordinates, and you'll get the y-coordinate C_y. This first part will be over, because the circle will be point

C=(C_x,C_y)

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

d=\sqrt{(P_x-Q_x)^2+(P_y-Q_y)^2}=\sqrt{(-10-4)^2+(-2-6)^2}=\sqrt{260}=2\sqrt{65}

Divide this length by 2 and you'll get the radius.

C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

(x-C_x)^2+(y-C_y)^2=r^2

Substitute C_x and C_y with the coordinates of the center (found in point A.) and r with the radius (found in point B.) and you'll have the equation of the circle.

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Answer:

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