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NISA [10]
4 years ago
13

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?

Mathematics
1 answer:
Contact [7]4 years ago
3 0

The expression simplified is \frac{3}{x}

Step-by-step explanation:

The expression given in this problem is

\frac{(x+3)^2-(x^2+9)}{2x^2}

We proceed in the following way:

- First, we solve the square of the brackets:

\frac{x^2+6x+9-x^2-9}{2x^2}

- Now we add/subtract the similar terms:

\frac{(x^2-x^2)+6x+(9-9)}{2x^2}=\frac{6x}{2x^2}

- And now we simplify by 2x, and we get:

\frac{6x}{2x^2}=\frac{3}{x}

Learn more about simplification:

brainly.com/question/7014769

brainly.com/question/1430645

#LearnwithBrainly

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HELP!! ⚠️ In the diagram below, the two vertical segments are parallel. What is the total number of degrees in angles a, b, c, d
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Answer:

360°

Step-by-step explanation:

According to the properties of parallel lines, the following deductions can be made:

<a and <c are exterior angles of same side, therefore they are supplementary.

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m<a + m<c = 180°

<b and <d, are alternate interior angles, therefore, they are supplementary.

Thus, m<b + m<d = 180°.

The total numbers of degrees of a, b, c, d will all sum up to give 360°.

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4 years ago
Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro
nadya68 [22]

Answer:   2730 tiles (Approx)    

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 cm^2

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile =  102 × 18 = 1836 feet^2 = 1836×30.48 × 30.48 = 1705699.8144 cm^2

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3 years ago
Read 2 more answers
Complete the equation for ⊙A.
mars1129 [50]

The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.

<h3>What is the equation of a circle?</h3>

The general equation of a circle is given as,

(x-h)²+(y-k)² = r²

Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,

Given that the four points that lie on the circle are  (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.

\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units

Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,

[x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9

Hence, the equation of circle A is (x+4)²+(y+2)²=9.

Learn more about Equation of Circle:

brainly.com/question/10618691

#SPJ1

3 0
2 years ago
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