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laiz [17]
3 years ago
5

Can Someone Help Me With This

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Step-by-step explanation:

Since they want to prove that ABCD is a square, you only need to know the lengths of two adjacent sides.

Distance formula: d = \sqrt\\(x2 - x1)^2 + (y2 - y1)^2

A: (3, 4) B: (2, -2) C: (-4, -1) D: (-3, 5)

Distance of AB where A = (x1, y1) and B = (x2, y2)

d = \sqrt\\(2 - 3)^2 + (-2 - 4)^2

d = \sqrt\\(-1)^2 + (-6)^2

d = \sqrt\\1 + 12

d = \sqrt\\13

Distance of CB where B = (x1, y1) and C = (x2, y2)

d = \sqrt\\(-4 - 2)^2 + (-1 - (-2))^2

d = \sqrt\\(-6)^2 + (1)^2

d = \sqrt\\12 + 1

d = \sqrt\\13

Since dAB = dCB, therefore quadrilateral ABCD is a square.

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USPshnik [31]

Answer:

  • $17,500 at 8%
  • $17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

  (11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

  $17,500 for 8% return

  $17,500 for 14% return.

_____

If you let x represent the amount at the higher rate, then the total return is ...

  14%x + 8%(35000 -x) = 11%(35000)

  (14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

  x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

4 0
3 years ago
there are 32 adults and 20 children at the school play. What is the ratio of children to people at the school play
Archy [21]

Answer:

5 : 8

Step-by-step explanation:

20 : 32

divide both ratios by 4

5 : 8

8 0
3 years ago
Find all x-values for which f ( x ) = 2 for the function below.
Angelina_Jolie [31]

Answer:

<h3>x = -3</h3>

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

8 0
3 years ago
What is four plus the number two basically mathematics
Oksi-84 [34.3K]

Answer:

6

Step-by-step explanation:

4+2 = 6

Hope this helps

6 0
3 years ago
Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9
Ratling [72]

The fourth option is the answer. When graphed, Min is 2, Q1 is 3, Median is 7, Q3 is 11, and Max is 24. The fourth option is the one that follow all of those!

7 0
3 years ago
Read 2 more answers
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