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ELEN [110]
3 years ago
10

Using the properties of absolute values, simplify the expression x×|x|, if it is known that:

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

  • x ≥ 0: x|x| = x²
  • x < 0: x|x| = -x²

Step-by-step explanation:

<u>For x ≥ 0</u>

  |x| = x

so

  x|x| = x(x) = x²

<u>For x < 0</u>

  |x| = -x

so

  x|x| = x(-x) = -x²

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BartSMP [9]
No she is not correct
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5 0
2 years ago
The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

v=\frac{d}{t}.

Applying this to our problem we have that

v=\frac{200m}{6.509s}= 30.726m/s.

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that v=\frac{d}{t}. This formula implies that

  1. t=\frac{d}{v}.

First, observer that 19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s.

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.

Then, applying 1) we have that

t=\frac{200m}{36.003m/s}=5.5549s.

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0
3 years ago
Mariana runs at a rate of 300 meters how far does she run in 8 minutes​
IgorC [24]

Answer:

well if this is by 300meters in one minutes then it would be 2400 meters

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3 years ago
What is the volume of a cube that has a side length of 5 centimeters? Recall the formula .  
mixas84 [53]
The answer would be 125
7 0
3 years ago
Read 2 more answers
Please help me find the area of this irregular shape.
ANTONII [103]

Answer:

23 Cm(2)

Step-by-step explanation:

Sincerest Apologies if it is incorrect

if it's not 23 it may be:

26 Cm(2)

6 0
2 years ago
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