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katrin2010 [14]
3 years ago
9

The triangle on the grid will be translated two units left.

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0

Given:

The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).

The figure is translated 2 units left.

To find:

The vertices and the diagram of the triangle after the given translation.

Solution:

if a figure is translated 2 units left, then

(x,y)\to (x-2,y)

Using the above rule, we get

A(-1,-1)\to A'(-1-2,-1)

A(-1,-1)\to A'(-3,-1)

Similarly,

B(-1,-5)\to B'(-1-2,-5)

B(-1,-5)\to B'(-3,-5)

And,

C(0.5, -5)\to C'(0.5-2,-5)

C(0.5, -5)\to C'(-1.5,-5)

So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).

Therefore, the correct option is B.

stira [4]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Answer:

a) dx/dt = 600 - 6x

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Explanation:

Taking the overall balance, since the total Volume of the setup is constant, then flowrate in = flowrate out

Let the concentration of salt in the tank at anytime be C

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Let the flowrate in be represented by Fᵢ

Let the flowrate out = F₀ = F

Fᵢ = F₀ = F = 6 L/min

a) Then the component balance for the salt

Rate of accumulation = rate of flow into the tank - rate of flow out of the tank

dx/dt = Fᵢxᵢ - Fx

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(1/25)(dx/dt) = 24 - (6/25)x

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dC/(24 - 6C) = dt

∫ dC/(24 - 6C) = ∫ dt

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In (24 - 6C) = K - 6t

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In (24 - 6(0.6)) = K

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So, the equation describing concentration of salt at anytime in the tank is

In (24 - 6C) = K - 6t

In (24 - 6C) = 3.02 - 6t

24 - 6C = e⁻ ⁽⁶ᵗ ⁻ ³•⁰²⁾

6C = 24 - (⁻⁽⁶ᵗ ⁻ ³•⁰²⁾)

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C = 4 - (e⁻ ⁽⁶ᵗ ⁻ ³•⁰²⁾)/6)

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(6t - 3.02) = -4.382

6t = -4.382 + 3.02

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