#1) 9=6 - 3 |4p + 9| now we're going to distribute
9= 6 - 12p - 27
9= 6 - 27 - 12p
9= - 21 - 12p
9 + 21= -12p
30= - 12p Now you are going to divide both side by -12
-12:30 = -12:-12p
-5/2= p final answer
#2) - |1 + 4a| = -13 now you going to change the sign
-1 - 4a = -13
-4a = -13 + 1
-4a = -12 now divide both side by -4
-4a:-4 = -12:-4
a = 3 final answer
Answer:
[-2; 1 ] is the new column vector
Step-by-step explanation:
See explanation in the attachment.
Remember, to solve this, you multiply the bigger numbers and add the exponents. if the exponents are negative they go on the bottom and are switched to a positive, you are trying to make the problem positive.
number 15 is A because you multiply 2 and 4 to get 8 and you add the exponents together if they are positive and are not a fraction
number 16 is D because you multiply all the bigger numbers together to get 48, then you add all the b's together to get four and all the a's to get 8
number 17 is D because you do the same by multiplying 5 and 3 to get 15, then adding the exponents to get 3 x's and 6 y's
number 18 is D because you multiply 5 and 2 and add the exponents to get 3 x's and 5 y's because the x without a number is a one so you make that one count and add 2 and one together to get 3
number 19 is B because the smaller number is negative so the y goes to the bottom and it becomes a y^3
number 20 is A because both exponents are negative and go to the bottom and become positive
number 21 is D because its the same case as number 20
Lastly Number 22 is B
I hope this helps and is correct lol
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I believe your answer is:

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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.
Answer:
50.6 cm
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.
x 46.2-14 (This is the length of the short side of the triangle)
--------- = -------------
72.6 46.2
Using cross products
46.2 *x = (46.2-14) *72.6
46.2 *x = (32.2) *72.6
46.2 *x = (32.2) *72.6
46.2x =2337.72
Divide each side by 46.2
46.2/46.2 *x = 2337.72/46.2
x = 50.6