Answer:
-3
Step-by-step explanation:
Hey there!
When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.
<u>Starting with A: </u>
Expand:
3 x 2x^2 + 3 x -x + 3 x -6
Simplify 3 x 2x^2 to 6x^2
6x^2 + 3 x -x + 3 x -6
Regroup.
6x^2 = 3x + 3 x -6
Simplify 3 x -6 to -18
6x^2 - 3x - 18
That does not match up to 6x^2-2x-20.
A is INCORRECT.
<u>Solving B:</u>
Collect like terms:
4x - 2x + 2x^2 - 20
The ones bolded are like terms.
So, we now collect them and add them.
4x^2 + 2x^2 = 6x^2
6x^2 - 2x - 20
That matches up with 6x^2-2x-20.
B is CORRECT.
<u>Solving C:</u>
Multiply the parentheses then multiply:
6x^2-12x+10x-20
Collect like terms:
6x^2 - 2x - 20
This matches up with 6x^2-2x-20.
Thus, C is CORRECT.
<u>Solving D:</u>
Multiply the terms in the parentheses by -2:
6x^2 - 2x - 2 x 10
Multiply the numbers:
6x^2 - 2x - 20
This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>
Thus, D is also CORRECT.
<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>
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Answer: $66
Step-by-step explanation:
Area of a rectangular =length*breadth
= 3.2 km * 3.0 km = 9.6km(squared)
Note, 1.6km = 1 mile
Cost of a hiking trail = $11 per mile
Converting kilometer to kill = 9.6km/1.6km = 6 miles
Hence, cost of a hiking trail to surround the rectangular shaped wilderness = $11 * 6 = $66
In case the cost is $11,000 per mile; total cost of hiking trails to surround the wilderness equals $66,000
Answer:
1/3
Step-by-step explanation:
In order for the disc to be entirely contained in a rectangular tile, its center must be at least 1 unit from the nearest edge. Which means there's a 2 by 4 region that the center can lie in.
So the probability is (2×4) / (4×6) = 8/24 = 1/3.