The sum of a number and its reciprocal is 65/8. Find the numbers.

Mathematics

1 answer:

djyliett [7]4 years ago

8 0

Answer: 8 and $\frac{1}{8}$

<u>Step-by-step explanation:</u>

x + $\frac{1}{x}$ = $\frac{65}{8}$

need to eliminate the denominator:

x(8x) + $\frac{1}{x}$ (8x) = $\frac{65}{8}$ (8x)

8x² + 8 = 65x

8x² - 65x + 8 = 0

(8x -1)(x - 8) = 0

(8x -1) = 0 (x - 8) = 0

x = $\frac{1}{8}$ x = 8

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1. Calculate the acceleration of riding her bicycle in a straight line that speeds up from 4 m/s to 12 m/s in 10 seconds. SOLUTI

valentina_108 [34]

<h3>✒️ACCELERATION</h3>

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$\large\sf\underline{Problem:}$

Calculate the acceleration of riding her bicycle in a straight line that speeds up from 4 m/s to 12 m/s in 10 seconds.

=================================

$\large\sf\underline{Answer:}$

$\qquad \qquad \huge \rm = 0.8 \: m/s²$

=================================

$\large\sf\underline{Solution:}$

Here we have a given of,

$\tt{(12\:m/s) \:= \:V_f = (final\: velocity) }$
$\tt{(4\:m/s)\:=\:V_i = (initial \: velocity) }$
$\tt{(10\:sec) \:=\:T = (elapsed time) }$

$\bold{Formula\:||\: Acceleration = \frac{v\: - \:v_0}{t} = \frac{ΔV}{ΔT} }$

Because acceleration has a direction <u>(</u><u>riding her bicycle in a straight line</u><u>)</u>, it is important to always subtract the final velocity represented as $\bold{V_f}$ from your initial velocity also represented as $\bold{V_i}$ .