The perimeter is 46mm because the l=15 and the w=8mm
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The depth of diving expressed as signed numbers indicates the magnitude
and direction of Brent and Giselle's displacement in the water.
- The situation expressed as signed number is; <u>-5, -80</u>
Reasons:
The depth Brent decides to go snorkeling = 5 feet below sea level
The depth to which Giselle decides to explore = 80 feet below sea level
Required:
To represent the situation as signed numbers.
Solution:
Taking the sea level as 0, we have;
The depth to which Brent goes = 0 feet - 5 feet = -5 feet
Depth at which Giselle explores = 0 feet - 80 feet = -80 feet
Expressed on the number line, we have;
<u>-∞∣ -80∣ -5∣ 0∣ 5∣ </u>
Therefore;
- The situation expressed as signed numbers is; <u>-5, -80</u>
<em>From a similar question posted online, the possible question options are;</em>
Learn more about signed numbers and number line here:
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The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
Learn more about Absolute value here:
brainly.com/question/1301718
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