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In-s [12.5K]
3 years ago
9

A {(2,7), (2,8), (3,8)}

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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Carol starts with $50 and saves $10 each week. Bill has $25 and saves $15 each week.
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false

Step-by-step explanation:

i dont know dont trust me

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Express (x-3)(x+5) as a trinomial
Len [333]

x^{2}+2x-15

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3 0
3 years ago
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Im so confused pls help
uranmaximum [27]

Answer:

2,3

Step-by-step explanation:

Let the first number be x

Hence, its next consecutive integer = x+1

Reciprocal\ of\ the\ first\ integer\ = \frac{1}{x} \\Reciprocal\ of\ the\ second\ integer\ = \frac{1}{x+1} \\\\As\ we\ are\ given\ that\ their\ sums\ are\ \frac{5}{6} ,\\\frac{1}{x} + \frac{1}{x+1} = \frac{5}{6} \\\\Through\ butterfly\ method\ of\ resolving\ the\ denominators\,\\\frac{(x+1)+x}{x(x+1)} = \frac{5}{6} \\\frac{2x+1}{x^2+x} =\frac{5}{6} \\6(2x+1)=5(x^2+x)\\12x+6=5x^2+5x\\\\Now, lets\ bring\ all\ the\ terms\ in\ the\ LHS\ to\ RHS.\\\\Hence,\\0=5x^2+5x-12x-6\\5x^2-7x-6=0\\

By Factorizing the expression on the LHS. we get it equal to :-

5x^2-7x-6=0\\5x^2-10x+3x-6=0\\5x(x-2) + 3(x-2) = 0\\(5x+3)(x-2)=0

Hence, we get two solutions for x, x=2, x= -3/5

As x is an integer, x=2 is the most suitable solution in this case.

Hence,

The numbers are 2,3

5 0
4 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
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