is there another square other than the own drawn to make a reflective symmetry?​

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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On solving the provided question, we can say that the next equation of \(25^2 - 15^2 = 6^2\\\) will be \(30^2 - 20^2 = 9^3\)

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the next equation of

\(25^2 - 15^2 = 6^2\\\)

will be

\(30^2 - 20^2 = 9^3\)

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Answer:

y= -49.26 or -49 6/23

Step-by-step explanation:

First distribute the 23 to y and 57

23y+1311=178

then subtract 1311 from both sides

23y=-1133

Then divide 23 to both sides

y= -49.2608695652

rounded: -49.3

as a fraction: -49 6/23

Answer:  It breaks up into 864+216

Reason:

x = some positive real number

The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080

4x+1x = 1080

5x = 1080

x = 1080/5

x = 216

We can then find 4x = 4*216 = 864

As a check: 864+216 = 1080, so the answer is confirmed.

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

Step-by-step explanation:

I'll do the first part for you:

The number of 3/4 in 2 is \(=2/\frac{3}{4}\)

That is the division equation.  Rearrange it to make the multiplication equation.  keep...change...flip.  Change the division to a multiplication and flip the fraction:

The number of 3/4 in 2 =\(=2.\frac{4}{3}\)

Answer:14

Step-by-step explanation:

13+5-4=14 No 1 more person got on.

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

8.94 is the answer.

Step-by-step explanation:

the approximate square root of 80 will be 8.94.

The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

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Answer: 0.09375

Step-by-step explanation: divid 3/8 and 1/4 together and you get 0.09375

Answer:

5

Step-by-step explanation:

=> 2x+3

For x = 1

=> 2(1) + 3

=> 2+3

=> 5

Answer:

5

Step-by-step explanation:

2x + 3

Put x as 1 and evaluate.

2(1) + 3

2 + 3

= 5

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

Step-by-step explanation:

3x-9<12

You carry the 9 to the other side and do the inverse(opposite of take away

3x<12+9

3x<21

3x/3x

To cancel out the the x you must devide them together and then devide 21÷3

21/3=7

X<7

Answer: x<7 or (-infinity,7)

Step-by-step explanation:

3x-9<12

3x<21

x<7

Answer:

B. 51.6

Step-by-step explanation:

All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...

Answer:

day 8

Step-by-step explanation:

the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:

f(n)=0.01x2^n-1

you put in the day number for n

f(n)=0.01x2^8-1

this gives you 1.28 which is the first day with an amount above 1.00

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Answer: 92

Step-by-step explanation: This is an arithmetic sequence since there is a common difference between each term. In this case, adding 3 3 to the previous term in the sequence

Answer:

The 23rd term is -187

Step-by-step explanation:

U₂₃=??, a=77, d=-12, n=23

U₂₃=a+(n-1)d

U₂₃=77+(23-1)(-12)

U₂₃=77+22(-12)

U₂₃=-187

U₂₃=-187

∴U₂₃=-187

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where \(f(x)\) is increasing or decreasing, we set \(f'(x)=0\) and check for the intervals.

We see that \(f'(x)=0\) when either \(x=2\) or \(x=6\). Therefore, we'll need to check the intervals \((-\infty,2)\), \((2,6)\), and \((6,\infty)\)

For the interval \((\infty,2)\), we can pick \(x=0\) . This means that\(f'(0)=(2-0)(6-0)=(2)(6)=12>0\), showing that \(f(x)\) increases on the interval \((-\infty,2)\)

For the interval \((2,6)\), we can pick \(x=4\). This means that \(f'(4)=(2-4)(6-4)=(-2)(2)=-4<0\), showing that \(f(x)\) decreases on the interval \((2,6)\)

For the interval \((6,\infty)\), we can pick \(x=7\). This means that \(f'(7)=(2-7)(6-7)=(-5)(-1)=5>0\), showing that \(f(x)\) increases on the interval \((6,\infty)\)

Therefore, \(f(x)\) is increasing on \((-\infty,2)\cup(6,\infty)\) and is decreasing on \((2,6)\).

42 , 16 values of sin and cos

Let's review some information regarding the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry. The ratio of the hypotenuse's length to the perpendicular's length in a right-angled triangle is another way to describe the sine function. Sin is a periodic function that has a period of 2 and a domain and range of (, ), respectively. To determine the sides of a triangle, use the sin formula.

The Sin Formula: What Is It? The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse

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Answer: f(3)=143

Step-by-step explanation:

f(x)=12(4)x−1

f(x)=48x−1

f(3)=48(3)−1

f(3)=144−1

f(3)=143

Answer:

Nominal.

Step-by-step explanation:

The option that is NOT a level of measurement is qualitative.

With qualitative, numbers are not assigned to the measurement.

A level of measurement classifies and relates values to variables.  Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.

Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.

Thus, qualitative is not a recognized level of measurement.

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The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Answer:

D

Step-by-step explanation:

What effect does Mathilde's losing the necklace have on the plot in "The Necklace"? It creates doubt in the mind of Madame Forestier' as to Mathidle's honesty. It helps extinguish Mathilde's longing for a life of luxury and wealth. It leads Mathilde and her husband into a life of debt, hard work, and poverty.

Answer: 9

Step-by-step explanation: POSITIVE 7 and u add another POSITIVE 2. 7+2=9

Answer:

150 cookies

Step-by-step explanation:

The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.

Hope this helps!

The length of the rectangle equals 80 cm, and the width equals 32 cm.

Divide the length to the width, we get the ratio between them :

80 : 32

Now, we simplify by dividing them both by the same number, in this case it's 16

=> 80 : 32 = (80 : 16) : (32 : 16) = 5:2

So, the ratio between the length and the width is 5:2

Answer:

5 : 2

Step-by-step explanation:

Ratio of length to breadth

= length : breadth

= 80 : 32

= \(\dfrac{80}{32}\)

Reduce the fraction by dividing the numerator and denominator by 8:

= \(=\dfrac{80 \div 8}{32 \div 8}=\dfrac{10}{4}\)

Reduce further by dividing by 2:

\(=\dfrac{10 \div 2}{4\div 2}=\dfrac52\)

Write as ratio:  5 : 2