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.
Answer:
Step-by-step explanation:
cos(x) = sin(15°)
x = arccos(sin(15°)) = 75°
We are given Elena’s bedroom door's width = 0.8 m.
Also the scale drawing is in the ratio of 1 to 50 that is 1/50.
<em>In order to find the width of scale drawing, we need to multiply original width of the door by 1/50.</em>
If we multiply 0.8 by 1/50, we get
0.8 × 1/50 = 0.8/50 = 0.016 meter.
So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
It is 234 because .567 are all decimals