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3 years ago

when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number

Mathematics

1 answer:

olga2289 [7]3 years ago

5 0

Answer:

let natural no be x

(x-20)=96/x

x²-20x-96=0

x²-24x+4x-96=0

x(x-24)+4(x-24)=0

(x-24)(x+4)=0

either

x=24

x=-4

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3 years ago

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abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-7, x_2=-10,y_2=8$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )$