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jekas [21]
3 years ago
9

What 2 numbers add up to get 17 and multiply to get -200

Mathematics
1 answer:
alexira [117]3 years ago
4 0
There is no fixed equation when I arrived at these numbers.

I just did trial and error. I came up with 25 and -8 as the numbers.

200 ÷ 25 = 8 ⇒ the sum of 17 depends on the signs of each numbers.

-8 x 25 = -200

-8 + 25 = 17
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Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
(7+5 + 4 . 13 - 2 <br><br> Please simplify this expression with all steps thank you
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Answer:

We apply the BODMAS rule

(7+5+4).(13-2)

(16).(11)

=176

Hope was useful

6 0
2 years ago
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Answer:

69 :D

Step-by-step explanation:

its a funny number :v

6 0
3 years ago
If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc
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Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

A = P(1 + r/n)^nt

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

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Equal to a+b on the algebra
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