Hey!!
So to factor it, you want to see what 2 numbers will multiply and make 9 and what 2 numbers will add and make -6.
so 9 and 1 and -9 and -1 make 9 but they dont make -6.
3 and 3 and -3 and -3 make 9, but we need to see which one makes -6. that would be -3 and -3
so the answer is (x-3)(x-3)
you can foil to make sure.
x * x is x^2
-3*x=-3x
-3*x=-3x
-3x-3x = -6x
-3*-3 is 9
so it is x^2-6x+9 which makes the original equation
Hope this helps!
Answer:
(C)
Step-by-step explanation:
Plug in 1 for s, and 2 for t:
5t - 2 = 5(2) - 2 = 10 - 2 = 8
t + 6 = (2) + 6 = 8
2s + 3 = 2(1) + 3 = 2 + 3 = 5
3s + 2 = 3(1) + 2 = 3 + 2 = 5
NM = PO = 8 ; NO = MP = 5 ∴ (C) is your answer
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Answer:
D: product
Step-by-step explanation:
All I remember is that the answer to a division problem is quotient and multiplication is a product. Hope this helps :)
Answer:
the equation of the hyperbola is;(x²/81) - (y²/1600) = 1
Step-by-step explanation:
We are given that the hyperbola has;
Centre; 0,0
Vertex; 9,0
Focus; 41,0
Thus,the vertex and focus are on the x-axis. Thus, the equation for the hyperbola will have the form;
(x²/a²) - (y²/b²) = 1
Since The vertex is (9,0),so
a = 9 and a² = 9² = 81
Also,Since The focus is (41,0),so
c = 41 and c² = 41² = 1681
Solving for b², we have;
b² = c² - a²
b² = 1681 - 81
b² = 1600
b = √1600
b = 40
Thus,equation of hyperbola is;
(x²/9²) - (y²/40²) = 1
Which gives;
(x²/81) - (y²/1600) = 1
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Define x:
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Let the tie be x
Tie = x
Shirt = x - 4.02
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Construct equation :
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The sum of the shirt and tie is $75.62
x + x -4.02 = 75.62
2x - 4.02 = 75.62
2x = 79.64
x = $39.82
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Find the cost of tie and shirt :
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Tie = x = $39.82
Shirt = x - $4.02 = $39.82 - $4.02 = $35.80
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Answer: The price of the short is $35.80
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