Ms. Warren has cups of lemonade mix in her classroom. She uses 1
1 answer:
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Answer: 3|x| = 3x when x 0 and 3|x| = -3x when x < 0
Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign that x <u>can't be below zero</u>, only <u>above or equal to</u>. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x <u>can't be above zero </u>because of the sign <, only <u>below zero</u>. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).
Note: <u>the absolute value of a number is always positive</u>, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.
Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.
Rounding a 10-meters long rope to form a circle will give you a circle whose circumference is 10 meters. In every circle, the following formula links radius and circumference together:
So, in your case, the radius will be
which we can best approximate as 1.59
Answer:
The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]
Step-by-step explanation:
<em>The image of the tent is attached.</em>
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As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.
The pythagorean theorem tells us:
Hypotenuse^2 = Leg^2 + Leg^2
THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:
We expand and solve for x:
Length can't be negative, so x = 5.
Hence, the 3 sides of the triangle are:
x = 5
x + 8 = 13
x + 7 = 12
The length of 2 wires are 13 feet and 12 feet
