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Luda [366]
3 years ago
7

the point A(7,1) is reflected over the point (4,0) and its image is point B. What are the coordinates of point B?

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer: The coordinates of point be are (1,-1)

Step-by-step explanation:

The reflected point will be equidistant from the point over which it is reflected as the original point and in the same line as the original point and the reflected point.

Find the difference between the x and y values of the given points and add that value (distance) to the reflection point.

x-values: 4-7 = -3   y-values: 0-1 = -1

Add to reflection point  x: 4-3 = 1     y: 0 -1 = -1

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(4m-3n)^2 Multiplying Polynomials
Sindrei [870]

Answer:

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Step-by-step explanation:

  1. Separate equation out so it is (4m-3n)×(4m-3n)
  2. FOIL (First, Outside, Inside, Last) your polynomial
  3. Should have equation 4m²-12mn-12mn+9m²
  4. Combine like terms
  5. Result: 4m²-24mn+9m²
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Sunhee had four plastic shapes a square, a circle, and a pentagon in how many ways can she line up the four shapes of the circle
julsineya [31]

Answer:

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you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

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but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

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only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

(reasoning as above, if 2nd is square or circle, we have to the only other, if it isn't, we can put it here at 3rd position)

plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

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If there are parentheses you add the exponent on the outside to the exponents inside that belong to a variable.

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