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lianna [129]
3 years ago
14

X/2 - y/3 = 3/2X/3 + y/2 = 16/3

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0
X/2-y/3=3/2
(6×x/2)-(6×y/3)=6×3/2
3x-2y=9______(1)

x/3+y/2=16/3
(6×x/3)+(6×y/2)=6×16/3
2x+3y=32_____(2)
(1)×3____9x-6y=27____(3)
(2)×2____4x+6y=64____(4)
(3)+(4)___13x=91
x=7
3(7)-2y=9
-2y=-12
y=6
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What is the justification for the first step in proving the formula for factoring the sum of cubes?
Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

a^3+b^3 = (a+b)(a^2-ab+b^2)

You have to start from (a+b)(a^2-ab+b^2)  and end in a³+b³. On your first step, you need to use the distributive property.

(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)

This is equal to

a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0
4 years ago
Solve the simultaneous equations<br> x + 6y = 20<br> x + 3y = 14<br> x =<br> Y=
xxTIMURxx [149]

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

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6 0
3 years ago
Read 2 more answers
Anybody know this one? I was leaning towards D but not sure
Hoochie [10]

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!

4 0
3 years ago
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B?
asambeis [7]

Answer:

(-7,-3)

Step-by-step explanation:

From A to M, the x value went down 2.  If it goes down another 2, it will be at -7.

From A to M, the y value went down 3.  If it goes down another 3, it will be at -3.

(-7,-3)

8 0
3 years ago
I rly need help with #2-4 and #8-9 PLZZ
castortr0y [4]

Answer:

2. sin=12\15 cos=9/15 tg=12/9

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7 0
3 years ago
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