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tigry1 [53]
3 years ago
9

Why do the diagonals of a square intersect at their midpoints?

Mathematics
1 answer:
UNO [17]3 years ago
7 0
<span>The diagonals of the square are the same length and also perpendicular to each other, being perpendicular means that they meet at a 90 degree angle. The intersection where the two diagonals meet forms 4, 90 degree angles which creates a circle.</span>
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(-1, 3)<br> (-5, -5)<br> (0, -4)<br> (1, 2)<br> (4, 4)<br> (3, 8)
velikii [3]
What is the question
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3 years ago
What is the equation of a circle with radius 4 and center (0,8)?
adoni [48]

The equation of circle with the center at (h,k) is:

\large \boxed{ {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2} }

r stands for radius. Therefore r^2 = diameter or 2×radius.

The question has already given the information we need, which are:

  • radius = 4
  • the center at (0,8)

Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).

Substitute the values in the equation:

\large{ {(x - 0)}^{2}  +  {(y - 8)}^{2}  =  {4}^{2} }

Simplify to the simplest form

\large \boxed{ {x}^{2}  +  {(y - 8)}^{2}  = 16}   \:  \:  \:  \: \huge{ \green{\checkmark}}

Answer

  • The equation of a circle is x^2+(y-8)^2 = 16

5 0
3 years ago
Regular price: $225.75<br> Precent of discount: 30%
erastovalidia [21]

Answer:

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Step-by-step explanation:

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A number divided by 35 has a quotient of 8 with a remainder of 9? What is the number?
marissa [1.9K]

Answer: 311.5


Step-by-step explanation: 35*8.9=311.5

311.5/35=8.9


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Answer:

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Step-by-step explanation:

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