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GuDViN [60]
3 years ago
10

Convert to a decimal using long division. 3/16

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer: 0.1875

Step-by-step explanation:

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Simplify the expression by combining like terms. <br><br>4y+7x- 2y+4x​
juin [17]

Hello!

Answer:

\boxed{2y+11x}

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

<em>First, you switch sides. *Group like terms*</em>

4y-2y+7x+4x

<em>Then, you add the similar to elements. You can also add the numbers from left to right.</em>

4y-2y=2y

2y+7x+4x

7x+4x=11x

\boxed{2y+11x}\checkmark, is the correct answer.

Hope this helps!

Have a nice day! :)

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3 years ago
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Which of the following will form the composite function G(F(x)) shown
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The x- and y-coordinates of the focus of a parabola are (1,3) and the directrix is y=-5 . A second parabola is a translation 1 u
Marianna [84]

Answer:

The equation of the second parabola is y=\frac{1}{16} \left(x - 2\right)^{2} + 1

Step-by-step explanation:

We know that the focus of the first parabola is (1,3) and the directrix is y = -5. We also know that the second parabola is a translation 1 unit right and 2 units up of the first parabola.

We can use the focus of the first parabola to find the focus of the second parabola (1+1, 3+2) = (2, 5) and the directrix of the second parabola is moved 2 units up. The equation of the directrix of the second parabola is y = -3.

To find the parabola equation we start by assuming a general point on the parabola (x,y).

Next, with the help of the distance formula we find that the distance between (x,y) and the focus.

\sqrt{(x-2)^2+(y-5)^2}

The distance between (x,y) and the directrix y = -3 is \sqrt{(y+3)^2}

On the parabola, these distances are equal:

\sqrt{\left(y+3\right)^2}=\sqrt{\left(x-2\right)^2+\left(y-5\right)^2}\\\left(\sqrt{\left(y+3\right)^2}\right)^2=\left(\sqrt{\left(x-2\right)^2+\left(y-5\right)^2}\right)^2\\\\\left(y+3\right)^2=\left(x-2\right)^2+\left(y-5\right)^2\\\\\left(y+3\right)^2= x^2-4x+4+y^2-10y+25\\\left(y+3\right)^2=x^2-4x+y^2+29-10y\\\\y^2+6y+9=x^2-4x+y^2+29-10y\\16y=x^2-4x+20\\y=\frac{x^2-4x+20}{16}\\\\y=\frac{1}{16} \left(x - 2\right)^{2} + 1

The equation of the second parabola is y=\frac{1}{16} \left(x - 2\right)^{2} + 1

7 0
4 years ago
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