MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1
Answer:

Answer with explanation:

The correct order of simplifying the expression is:

1. Opening the bracket Using Identity

2. Adding and Subtracting Like terms

The given expression is

=((x+3)^2-(x^2+9))/(2x^2)\n\n=(x^2+6 x+9-x^2-9)/(2x^2)\n\n=(6x)/(2x^2)\n\n=(3)/(x)\n\n \text{Used the identity and law of indices}\n\n(a+b)^2=a^2+2 a b+b^2\n\n (x^a)/(x^b)=x^(a-b)
Answer 2
Answer: ((x+3)^2-(x^2+9))/(2x^2)\n\nuse\ (a+b)^2=a^2+2ab+b^2\n\n=(x^2+2\cdot x\cdot3+3^2-x^2-9)/(2x^2)=(x^2-x^2+6x+9-9)/(2x^2)\n\n=(6x)/(2x^2)=(3)/(x)

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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?A. the formula for the area of a circle
B. the formula for the area of a trapezoid
C. the formula for the area of a triangle
D. the formula for the area of a rectangle

Answers

The formula for the area of a circle. Then the correct option is A.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

A. The formula for the area of a circle.

In the formula of circle, π is an irrational number, so the resulting area will be irrational.

B. The formula for the area of a trapezoid.

In the formula of trapezoid, all the value are rational number, so the resulting area will be rational.

C. The formula for the area of a triangle.

In the formula of triangle, all the value are rational number, so the resulting area will be rational.

D. The formula for the area of a rectangle.

In the formula of rectangle, all the value are rational number, so the resulting area will be rational.

Then the correct option is A.

More about the irrational number link is given below.

brainly.com/question/9466779

#SPJ5

Answer:

A: The formula for the area of a circle

Edg 2020

How do I factor 5x^2 + 28x + 32 ?

Answers

Factor:

5x^2 + 28x + 32  =======>  Solution:  ======>   ( x   +   4 ) ( 5x   +   8 )


Steps:  Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2     +    20x )      +     ( 8x       +     32 )

Factor Out   5x^2   From  5x^2   +   20x   ======>     5x( x   +   4 )

Factor Out the  8   From    8x    +   32    ========>    8 ( x      +    4 )

=       5x (x     +    4 )       +     8 ( x      +     4 )

Factor Out Common term:

x     +        4

Answer =====>  Factor of;  ==>  5x^2 + 28x + 32     ( x      +    4 ) ( 5x      +   8 )



Hope that helps!!!!                                              : )

   
Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

Work out a volume of a prism 4m x 4m x 7m

Answers

multiply all of that together

7x4= 28

28x4=112

The scientific notation 3.14 x 10 -3 has what value? 0.000314
0.00314
0.0314
0.314

Answers

3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140 

From 3140. decimal move to the left 3.140

A round barbecue pit is 2 meters in diameter. What is the distance around the barbecue pit? A. 3.14 meters
B. 12. 56 meters
C. 6.28 meters
D. 18.84 meters

Answers

The length of a circle is equal to 2π * diameter/2, where π = ~3.14. In our case we have 2*(~3.14) = 6.28 meters. So the correct answer is C.

The gazebo in the park is an octagon each side is 4 feet long what is the perimeter of the gazebo

Answers

Octagon is an eight sided polygon.
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32
or...
4 * 8 = 32
The diameter of the gazebo in the park is 32 feet long.
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