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2 years ago

Write an equation of a line perpendicular to

Mathematics

1 answer:

Bess [88]2 years ago

4 0

Answer:

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Which pair of undefined terms is used to define the term parallel lines?

nikdorinn [45]

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

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2 years ago

Amy can clean the interior of her car in 3 hours. If Amy and her husband work together,

leva [86]

Answer:

1 hour

Because 3 - 2 = 1.

Therefore, 1 hour only.

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2 years ago

An astronaut is 60kg on the Moon. What is his Mass on Earth?

Rus_ich [418]

Answer:

10kg?

Step-by-step explanation:

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3 years ago

I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)

Phoenix [80]

A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.

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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3 years ago

A new game is being constructed where the game board is going to have 8 rows with 10 spaces in each row. What is the smallest ga

Tresset [83]

A 8X10 borad or a 10X8 board

4 0

3 years ago