Answer:
(x +sqrt(48)) (x-sqrt(48))
Step-by-step explanation:
sqrt = Square Root
sqrt(48) = 6.928
Answer:
<u>Option B</u>
Step-by-step explanation:
The question is as following:
Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.
D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality
<u />
<u>The answer:</u>
Step Work Justification
multiply both sides by 2
1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}
{Combine like terms}
2) 8x − 4 = 12 ⇒
Adding 4 both sides
3) 8x = 16 ⇒ {Addition property of equality}
divide both sides by 8
4) x = 2 ⇒ {Division property of equality}
The answer is option B
(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18.
416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes.
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This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being:
1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!.
2. That all of the pages must be filled.
Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations.
6x3 card pages. Only 1 possible configuration.
4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways.
2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways
9x2 card pages. These can only be arranged in 1 way.
So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations.
Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is
6402373705728000 * 65 = 416,154,290,872,320,000</span>
Point +10.
(-2)*(-1) gives +2 (a negative number multiplied for another negative gives a positive number).
2*5 = +10
You might want to stick to at most five questions at once, makes it easier for the rest of us. :)
17. T has a vertical line of symmetry (along the center line).
18. Z looks the same if you turn it halfway around.
19. The passes total to 150°, which is a little less than 180°, so I estimate it would be in front of Kai.
20. Left is the -x direction. Up is the +y direction. this is (x-6, y+4)
21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
25. Right is the +x direction. Down is the -y direction. (x+3, y-5)
26. This is a reflection.
Need clarification on anything?
type solution and 10 gram of 
type solution.</h2>