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quester [9]
4 years ago
13

Is 1/2(4 minus 2x); 2 minus 2x equivalent

Mathematics
1 answer:
dlinn [17]4 years ago
8 0

Answer: -4x+4 Equivalent

Step-by-step explanation: 1/2(4-2x) 2-2x

1/2(-2x) 2-2x

1/2(-2x+4) 2-2x

2 · 1/2(-2x+4) -2x

<u>2·(-2x+4) -2x</u>

         2

(-2x+4) -2x

-2x+4-2x

-2x-2x+4

= -4x+4  

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Write two polynomials whose sum is x to the second power and whose difference is 1
Alex777 [14]

Answer:

Therefore, the  first polynomial is:

Z=\frac{1}{2}x^2+\frac{1}{2}\\

the second polynomial is:

Y=\frac{1}{2}x^2-\frac{1}{2}\\

Step-by-step explanation:

We assume that: Z is first polynomial and Y is second polynomial.

Therefore, we have

Z+Y=x^2\\\\Z-Y=1\\\\\implies Z+Y+Z-Y=x^2+1\\\\2Z=x^2+1\\\\Z=\frac{1}{2}x^2+\frac{1}{2}\\

now, we get

\implies Z+Y-Z+Y=x^2-1\\\\2Y=x^2-1\\\\Y=\frac{1}{2}x^2 -\frac{1}{2}

Therefore, the  first polynomial is:

Z=\frac{1}{2}x^2+\frac{1}{2}\\

the second polynomial is:

Y=\frac{1}{2}x^2-\frac{1}{2}\\

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3 years ago
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Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x
N76 [4]

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

<h3>How to determine the circle equation?</h3>

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

brainly.com/question/1559324

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3 years ago
A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
melamori03 [73]

Answer:

The area of four small rectangles are ac, bc, ad and bd.

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