Answer:
Rounded down to the nearest foot, the length of the garden is nine feet.
Step-by-step explanation:
We're told that the length of the chicken coop, 3x + 12 feet, is equal to the length of the garden, 6x - 16 feet. Let's put them together then and solve for x:
3x + 12 = 6x - 16
First, we'll subtract 6x from both sides
3x - 6x + 12 = 6x - 6x - 16
-3x + 12 = -16
Now we subtract 12 from both sides:
-3x + 12 - 12 = -16 - 12
-3x = -28
Finally divide both sides by -3
-3x / -3 = -28 / -3
x = 28/3
x = 9 and 1/3
As the question asks for the number of feet only (not inches), the answer is nine feet.
A third of a foot though is four inches, so the more exact answer is nine feet and four inches, or 9'4"
Answer:
The answer IS (-1,3)
Step-by-step explanation:
Plug in these (answers) and you get 2 true statements:
-x +y=4
1 + 3 = 4 (because the neg. 1x multiplied by -1 answer = positive 1.
6x +y = -3
6(-1) + (3) =- 3
-6 +3 = -3
Answer: 12 hours and 24 Minutes
Step-by-step explanation:
7*60 = 420
810/420 = 1.9285
93- 100 = 53-60
subtract 40 from 93.
1.53*8 = 12.24
Answer: 12 hours and 24 Minutes
Answer:
54°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so;
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.
