Answer:
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Step-by-step explanation:
Answer:
a^5b^4
-a^5b^4
9a^5b^4
Step-by-step explanation:
Like terms will all have the same bases and exponents.
a^5b^4
-a^5b^4
9a^5b^4
they all contain a^5 b^4
Answer:
1)D 2)C 3)A 4)B 5) A
Step-by-step explanation:
1) The area rectangle is 36x^2 -1
We know ,
A= l*b
=36x^2 -1
=(6x)^2 -1
=(6x+1) (6x-2)
This the value of l,b respectively.
So, Perimeter of rectangle is 2(l+b)
P=2(6x+1) + 2(6x-1)
=24x
2)The area of square is 4(x+5)^2
We know,
A=l^2
=4(x+5)^2
=4(x^2 + 10x + 25)
=(2x+10)^2
This is the value of l=2x+10.
So, Perimeter of square is 4l
P=4(2x+10)
=8x+40
3)The fully factorized form is
= -2x^2 + 10x +12
= -2x^2 + 12x -2x +12
= -2x(x-6) -2(x-6)
= -2(x-6) (x+1)
4)The fully factorized form is
=x^4 -81
=(x^2)^2 -9^2
=(x^2 + 9) (x^2 - 9)
=(x^2 + 9) (x^2 - 3^2)
=(x^2 + 9) (x + 3) (x - 3)
5)The fully factorized form is
= 5x^4 - 320
= 5(x^4 - 64)
= 5((x^2)^2 - 8^2)
= 5(x^2 + 8) (x^2-8)
Answer: a.) 40320
b.) 336
Step-by-step explanation:
since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.
Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:
8*7*6*5*4*3*2*1 = 40320.
b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:
8*7*6 = 336
Answer:
are of trapezoid =1/2×height(a+b)
Step-by-step explanation:
A=1/2×8(10+20)
=4×30
=120cm*
