Answer:
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Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization
Collinear means the points are lying on single straight line
So B)with K G R form a single straight line is correct
Coplanar means the points are in the same plane
So D)with H G K N on the same plane is correct
Overall,B) and D) are correct
Answer: a) 124,596, b) 2142691552.
Step-by-step explanation:
Since we have given that
Number of distinguishable balls = 24
Number of boxes = 6
(a) In how many different ways can this be done?
(b) In how many different ways can this be done if box 1 must get 12 balls, box 2 must get 7 balls, box 3 must get 5 balls, and boxes 4, 5, and 6 must be empty?
Number of ways would be
Hence, a) 124,596, b) 2142691552.
Answer:
https://www.pmschools.org/site/handlers/filedownload.ashx?moduleinstanceid=701&dataid=3612&FileName=2015%20triangle%20proofs%20answers.pdf
Step-by-step explanation:
