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4 years ago

Rewrite without absolute value for the given condition : y=|x−5|+|x+5|, if −5 I WILL AWARD BRAINLIEST!!! PLEASE HELP!!!!!

Mathematics

1 answer:

Nina [5.8K]4 years ago

5 0

y = | x -5| + |x+5|

as range of x is

-5 < x < 5

we can see if we put x = 0 we get

y = 10

we put any value of x in given range first term is always negative without absolute. and 2nd term is always positive

y = | x -5| + |x+5|

= -( x-5) + x + 5

= - x + 5 + x + 5

= 10

y = 10 where -5 < x < 5

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That’s a rational number because it’s decimal form terminates

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When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t

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The flea's acceleration is 1,000 m/s².

<h3>Further explanation</h3>

The problem we overlook this time is about uniformly accelerated motion.

The list of variables to be considered is as follows.

$\boxed{u \ or \ v_i = initial \ velocity}$

$\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}$

$\boxed{a = acceleration \ (constant)}$

$\boxed{d = distance \ travelled}$

Given that a take-off speed of 1.0 m/s over a distance of 0.50 mm.

The initial speed was zero from rest. It was asked about flea's acceleration when she extends her legs.

The formula we follow for this problem are as follows:

$\boxed{ \ v^2 = u^2 + 2ad \ }$

a = acceleration (in m/s²)
u = initial velocity = 0 m/s
v = take off speed = 1.0 m/s
d = distance travelled = 0.50 mm

Converted 0.50 mm to meters: $\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}$

<u>Steps:</u>

We set the formula so that the acceleration becomes the subject.

$\boxed{ \ v^2 = u^2 + 2ad \ }$

$\boxed{ \ v^2 - u^2 = 2ad \ }$

$\boxed{ \ 2ad = v^2 - u^2 \ }$

$\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }$

Substitute all data into equations.

$\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }$

$\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }$

$\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }$

$\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }$

We get the flea's acceleration, i.e., 1,000 m/s².

<h3>Learn more</h3>

About scientific notation brainly.com/question/7263463
Finding the mass of substance brainly.com/question/4053884
Converting in cubic brainly.com/question/1446243

Keywords: flea, when jumping, rapidly extends its legs, take-off speed, initial velocity, distance, acceleration, uniformly accelerated motion, convert

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