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USPshnik [31]
3 years ago
12

HELP!!!!!

Mathematics
2 answers:
jonny [76]3 years ago
7 0

9514 1404 393

Answer:

  the diagonals bisect each other

Step-by-step explanation:

The midpoint formula tells you the midpoint M of segment XY is ...

  M = (X + Y)/2

In your problem, the diagonals will bisect each other if they have the same midpoint. That is, we want to see if ...

  (A +C)/2 = (B +D)/2

Multiplying by 2 can simplify our work a bit. In short, we want to test ...

  A +C = B +D

  (1, 4) +(-1, -4) = (4, -1) +(-4, 1) . . . . fill in the point coordinates

  (1-1, 4-4) = (4-4, -1+1) . . . . . . . . . . simplify a bit

  (0, 0) = (0, 0) . . . . . . . true, the midpoints are the same

The diagonals are mutual bisectors.

castortr0y [4]3 years ago
7 0

Answer:

the diagonals bisect each other

Step-by-step explanation:

The midpoint formula tells you the midpoint M of segment XY is ...

M = (X + Y)/2

In your problem, the diagonals will bisect each other if they have the same midpoint. That is, we want to see if ...

(A +C)/2 = (B +D)/2

Multiplying by 2 can simplify our work a bit. In short, we want to test ...

A +C = B +D

(1, 4) +(-1, -4) = (4, -1) +(-4, 1) . . . . fill in the point coordinates

(1-1, 4-4) = (4-4, -1+1) . . . . . . . . . . simplify a bit

(0, 0) = (0, 0) . . . . . . . true, the midpoints are the same

The diagonals are mutual bisectors.

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Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books
Oksi-84 [34.3K]

Answer:  The correct option is (A) 120-3w=24;~32.

Step-by-step explanation:  Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.

We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.

Also, we are to find the number of weeks.

The number of weeks  it will take Raymond to have only 24 books left is represented by 'w'.

We have

number of books read by Raymond is 1 week = 3.

So, number of books read by Raymond is w weeks = 3w.

Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be

120-3w.

According to the given information, we get

120-3w=24\\\\\Rightarrow 3w=120-24\\\\\Rightarrow 3w=96\\\\\Rightarrow w=32.

thus, the required equation is 120-3w=24 and number of weeks is 32.

Option (A) is correct.

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3 years ago
Which graph represents the given exponential function?
VikaD [51]

Answer:

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Step-by-step explanation:

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3 years ago
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son4ous [18]

Answer:

4

Step-by-step explanation:

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7 0
3 years ago
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diamong [38]

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

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Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

7 0
3 years ago
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