3 years ago

X-1/2*1/8=1/8 Find the value of x.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

7 0

Answer:

x = 3 / 16

Step-by-step explanation:

Simplify first:

x - 1 / 16 = 1 / 8

x = 3 / 16

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1.

$r=32\,\text{units}\\\\
A=\pi\cdot r^2=\pi\cdot32^2=1024\pi\,\,\text{units}^2$

Answer D.

2.
From secant theorem, we know, that:

$|AE|\cdot|BE|=|DE|\cdot|CE|$

and from picture:

$|BE|=x+1\\\\|CE|=x+4\\\\|AE|=11+x+1=x+12\\\\|DE|=1+x+4=x+5$

So we can calculate:

$|AE|\cdot|BE|=|DE|\cdot|CE|\\\\(x+12)\cdot(x+1)=(x+5)\cdot(x+4)\\\\
x^2+12x+x+12=x^2+5x+4x+20\\\\
x^2+13x+12=x^2+9x+20\quad|-x^2\\\\13x+12=9x+20\quad|-9x\\\\4x+12=20\quad|-12\\\\4x=8\quad|:4\\\\\boxed{x=2}$

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