Are the ratios 8:10 and 4:5 equivalent?

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

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Answer:

31800000

Step-by-step explanation:

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

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Answer:

$839.95

Step-by-step explanation:

There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:

7%=7/100=0.07

7% “of” the amount says to multiply. The word “of” in maths means multiply:

0.07×$785=$54.95.  The tax is $54.95

The computer costs $785. Plus the tax $54.95:  $785+$54.95=$839.95

She pays $839.95 for the computer, including tax.

You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:

100% of the computer price plus 7% of the computer price to get the total cost taxes in.

100% + 7% = 107%. And 107% = 1.07

So we have the following:

$785×1.07=$839.95

Hope this helps :)

Answer:

$839.95

Step-by-step explanation:

From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:

= $785 + (7% × $785)

= $785 + (0.07 × $785)

= $785 + $54.95

= $839.95

Answer:

Step-by-step explanation:

Use the equation of circumference and substitute the value of radius:

Compare the answer choices to find the correct one, which is:

[tex]\\ \sf\longmapsto Circumference=2\pi r[/tex]

[tex]\\ \sf\longmapsto Circumference=2(3)(π)=6\pi[/tex]

Now

Check 1st option

[tex]\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi[/tex]

Answer:

Step-by-step explanation:

ebony walks 118*60*5= 35400 steps

Javier walks 6000 in 50 minutes

5 hours is 300 minutes

which means we walks 6000 steps 6 times

6*6000= 36000 steps

therefore javier walked more steps

Answer:

19.43

Step-by-step explanation:

This is a trick for you.

Make the numbers to become whole numbers(1474+469)

After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

2x+4=3x-10

Add 10 to both sides, leaving you with

2x+14=3x

Subtract 2x from both sides, leaving you with

x=14

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

Answer:

Step-by-step explanation:

Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w

= 28w + 12...ans

Answer: 4

Step-by-step explanation:

Answer:

the total cost would be $ 780.00

Step-by-step explanation:

step by step explanation

Answer: 36.

Step-by-step explanation:

4+5 = 9

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Answer:

y = 6x - 4

Step-by-step explanation:

I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.

Slope-intercept form: (y = mx + b) y = 6x - 4

Standard form: (Ax + By = C) -6x + y = -4

Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)

Tell me if I'm wrong :)

Answer:

Step-by-step explanation:

Bu using the formula of Two-Points form:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]

Substitute the points in the above equation:

y+3/-5+3=x-6/-6-6

y+3/-2=x-6/-12

-12(y+3)=-2(x-6)

-12y-24=-2x+6

2x-12y-24-6=0

2x-12y-30=0

Or

x-6y-15=0

Answer:

For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.

Step-by-step explanation:

Have a GREAT DAY !

Answer:

0.0378788 mph is the correct answer here

Answer:

A = 9 9/10 sq inches

Step-by-step explanation:

A = lw

A = 12/5 x 33/8

A = 396/40

A = 9 9/10 sq inches

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

Hope this helped!!

Answer:

A. 5r3 − 34r2 + 44r − 16

Step-by-step explanation:

If this is the question in picture below.

Answer:

468

Step-by-step explanation:

Answer:

Should look like this

Step-by-step explanation:

y-intercept = 2

slope = 1

Answer:

Step-by-step explanation:

what is the square of 0.81?

0.9

The square root of 0.81 is equal to 0.9 or 9/10

--------------

check

0.9 * 0.9 = 0.81

the answer is good

Answer:

The 6 is the base of the expression

Step-by-step explanation:

The base number is the number in front of the exponent.

So [tex]6^{-4}[/tex]  the 6 is the base of the expression