Fachorise completely
x^2y^2-1​

Answers

Answer 1

Answer:

[tex](xy+1)(xy-1)[/tex]

Step-by-step explanation:

x²y²-1

=(xy)²-(1)²

=(xy+1)(xy-1)


Related Questions

Rejoice bought 600 oranges at 5 for GH¢3.00 to be sold at the market. On her arrival 5% of the oranges got rotten and she sold the rest at one for GH¢1.00...
I) How any oranges did she finally sell?
ii) Find her loss or profit percent.​

Answers

Answer:

She finally sold 570 oranges

Profit %= 58.33%

Step-by-step explanation:

Quantity bought=600

Price=5 for GH¢3.00

Total cost price=600/5 * GH¢3.00

=120*GH¢3.00

=GH¢360.00

5% of 600 oranges got rotten

=5/100*600

=30 Oranges were rotten

I) How any oranges did she finally sell?

She finally sold

Sold oranges= Total oranges - Rotten oranges

=600-30

=570 oranges

Selling price=GH¢1.00 * 570 oranges

=GH¢570.00

ii) Find her loss or profit percent

Profit or loss percent= Selling price - cost price / cost price * 100

% profit or loss=S.P - C.P / C.P * 100

=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100

=GH¢210.00/GH¢360.00 *100

=0.5833 * 100

=58.33% profit

The city school district is considering increasing class size in the elementary schools. However, some members of the school board are concerned that larger classes may have a negative effect on student learning. In words, what would the null hypothesis say about the effect of class size on student learning?

Answers

Answer:

The null hypothesis would say that class size has no effect on students learning.

Step-by-step explanation:

Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.

Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.

Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.

please help

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

a. (x1,y1) = (2x + x2, 2y+y2)

b. (x1,y1) = (2x - x2, 2y - y2)

c. (x1,y1) = (x + x2, y + y2)

d. (x1,y1) = (x - x2, y - y2)

Answers

Answer:

B

Step-by-step explanation:

So this was a pretty difficult question to do algebraically so I just came up with an example.

Step-by-step explanation:

Hey,there!!!

Let's simply work with it,

We have,

One point is (x2,y2) and midpoint is(x,y).

Now, let's use midpoint formulae,

[tex](x ,\: y) = \frac{x1 + x2}{2} + \frac{y1 + y2}{2} [/tex]

Now, let's equate with their corresponding elements we get,

[tex]x = \frac{x1 + x2}{2} [/tex]

now, 2x=x1+x2

or, x1=2x-x2

and

[tex]y = \frac{y1 + y2}{2} [/tex]

now,

2y = y1+y2

or, y1 = 2y-y2

Therefore, the answer is (x1,y1)= { (2x-x2),(2y-y2) }

Hope it helps...


[tex] \frac{ {x}^{2} + 4x + 5 }{ {x}^{2} + 3 \sqrt{x + 4} } [/tex]
Hi
is this a rational expression or not pls reply asap​

Answers

Answer:

NOT a rational expression.

Step-by-step explanation:

A rational expression is a fraction of two polynomials.

Since the denominator contains a square-root radical, it is not considered a polynomial.

Therefore the given exprssion is NOT a rational expression.

HELP!!!Where does the graph of y = sin x from x = 0 to x = 2π start? A. at its minimum B. at an x–intercept C. at its maximum D. between an x–intercept and its maximum

Answers

Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1

Answers

Answer:

a

Step-by-step explanation:

On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:

Answers

Answer:

$11.76 is the charge for bag.

Step-by-step explanation:

Given:

One way fare = $98

Weight of bag = 52 pounds

Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare

To find:

Charge for bag = ?

Solution:

Pounds more than 40 pounds = Weight of baggage - 40 pounds

[tex]\Rightarrow 52-40 = 12\ pounds[/tex]

Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.

Here one way fare is $98.

So, charges on extra baggage will be:

[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]

So, the charge for the baggage is $11.76.

Given the equation y = 2x + 3 what is the slope?
x
3
2
idk

Answers

Answer:

The slope is 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 2x + 3

Comparing this equation with the general equation above

Slope / m = 2

Hope this helps you

How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?

Answers

Answer:

12

Step-by-step explanation:

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of  

points and since two equilateral triangles can be drawn having

that pair of points as vertices, there are 12 equilateral  

triangles that can be drawn having two vertices in the set  

{(0,0), (0,1), (1,0), (1,1)}.

The number of the equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

What is an equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of points and since two equilateral triangles can be drawn having that pair of points as vertices, there are 12 equilateral triangles that can be drawn having two vertices in the set {(0,0), (0,1), (1,0), (1,1)}.

Therefore, the number of the equilateral triangles in the plane that have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.

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the points (-2,1), (1,1), (0,-2), and (-3,-2) are vertices of a polygon. what type of polygon is formed by these points? A. rectangle B. square C. pentagon D. parallelogram

Answers

Answer:

[tex]\boxed{\sf D. \ Parallelogram}[/tex]

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6

Answers

Answer:

38.5 miles

Step-by-step explanation:

Proportions:

4 inches ⇔ 10 miles

15.4 inches ⇔ M miles

M = 15.4*10/4

M = 38.5 miles

Answer:  38.5    

Step-by-step explanation: cuz im smart

A culture started with 2000 bacteria. after 2 hours it grew to 2400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number. P=Ae^kt

Answers

Answer: There will be 4977 bacteria present after 10 hours.

Step-by-step explanation:

The exponential function for continuous growth in t years is given by :-

[tex]P=Ae^{kt}[/tex]   (i)

, where A = initial population, k= rate of growth.

As per given, A= 2000,  

After t= 2 hours, P=2400

Put these values in  (i), we get

[tex]2400=2000e^{2k}\\\\\Rightarrow\ 1.2=e^{2k}[/tex]

Taking log on both sides

[tex]\ln 1.2=2k\\\\\Rightarrow\ k=\dfrac{\ln1.2}{2}=\dfrac{0.182321556794}{2}\\\\\Rightarrow\ k\approx0.09116[/tex]

put value of A=2000, k= 0.09116 and t= 10 , we get

[tex]P=2000e^{0.09116\times10}\\\\=2000e^{0.9116}\\\\=2000\times2.4883\\\\=4976.6\approx4977[/tex]

Hence, there will be 4977 bacteria present after 10 hours.

Answer:

Step-by-step explanation:

Solve for xxx. 12x+7 4012x+7 4012, x, plus, 7, is less than, minus, 11, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, 5, x, minus, 8, is greater than, 40 Choose 1 answer: Choose 1 answer: (Choice A) A x \dfrac{48}{5}x> 5 48 ​ x, is greater than, start fraction, 48, divided by, 5, end fraction (Choice B) B -\dfrac32 \dfrac32x> 2 3 ​ x, is greater than, start fraction, 3, divided by, 2, end fraction or x<\dfrac{48}{5}x< 5 48 ​ x, is less than, start fraction, 48, divided by, 5, end fraction (Choice D) D There are no solutions

Answers

Answer:

x < -3/2 and x>48/5

Step-by-step explanation:

Given  the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.

For the inequality 12x+7< -11

Step 1: Subtract 7 from both sides of the inequality

12x+7-7< -11-7

12x < -18

Step 2: Divide both sides of the inequality by 12

12x/12 < -18/12

x < -3/2 .............. 1

For the inequality 5x-8> 40;

Step 1: Add 8 to both sides of the inequality

5x-8+8 > 40+8

5x > 48

Step 2: Divide both sides of the inequality by 5

5x/5 > 48/5

x>48/5....... 2

Combining equation 1 and 2, we will have;

x < -3/2 and x>48/5

If x>48/5 then 48/5<x

Combining 48/5<x with x < -3/2  will give  48/5<x<-3/2

Answer:

there are no soulutions

Step-by-step explanation:

By SAA conjecture, determine which triangles are congruent.

Answers

Answer:

The correct option is;

[B] ΔABF ≅ ΔEDF

Step-by-step explanation:

GIven that ∠FAE is congruent to ∠FEA

Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)

Segment FA is equal to segment FE (Equal segments of isosceles triangle)

Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)

Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)

The correct option is ΔABF ≅ ΔEDF.

Calliope solved the equation 4x+3=2x−8 using the steps shown below. She was asked to provide her reasoning by choosing the properties of equality that correctly justify her work. Help Calliope by matching her steps of work in the left column with the appropriate reason in the right column.

Answers

Answer:

4x + 3 = 2x -8

subtraction property of equality: 4x - 2x = -8 - 3

2x = -11

division property of equality: x = -11/2

Find the value of x in each case:

Answers

Answer:

x = 36

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.

i. Determination of y

2x + y = 180 (angle on a straight line)

Rearrange

y = 180 – 2x

ii. Determination of z.

z + 4x = 180 (angle on a straight line)

Rearrange

z = 180 – 4x

iii. Determination of x

x + y + z = 180 (sum of angles in a triangle)

But:

y = 180 – 2x

z = 180 – 4x

Therefore,

x + y + z = 180

x + 180 – 2x + 180 – 4x = 180

Collect like terms

x – 2x – 4x = 180 – 180 –180

– 5x = – 180

Divide both side by – 5

x = – 180 / – 5

x = 36

Therefore, the value of x is 36.

Which expressions are equivalent to 7×7×7×7×7×7 choose two answers:

Answers

Answer:

7^6 =A, C

Step-by-step explanation:

The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³  thus option (A) and (C) is correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

7×7×7×7×7×7 = 7⁶

Now, in option (A),

7⁸/7² = 7⁸ ⁻ ² = 7⁶

In option (C)

(7²)³ = 7² ˣ ³ = 7⁶

Hence "The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³".  

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when would you write an x in an equation?)

Answers

Answer:

[tex]\Large \boxed{\mathrm{When \ a \ number \ is \ not \ known}}[/tex]

Step-by-step explanation:

For example, a sum of a number and 6 is 12.

The number is unknown.

Let the number be x.

x + 6 = 12

We can solve for x (unknown number). Subtract 6 from both sides of the equation.

x = 6

A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building

Answers

Answer:

[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]

Step-by-step explanation:

A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)

The initial velocity ⇒ 20 m/s

The final velocity ⇒ 40 m/s

We can apply a formula to solve for the height of the building.

[tex](V_f)2 - (V_i)^2 =2gh[/tex]

[tex]V_f = \sf final \ velocity \ (m/s)[/tex]

[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]

[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]

[tex]h = \sf height \ (m)[/tex]

Plugging in the values.

Acceleration due to gravity is 9.8 m/s².

[tex](40)^2 - (20)^2 =2(9.8)h[/tex]

Solve for [tex]h[/tex].

[tex]1600 - 400 =19.6h[/tex]

[tex]1200 =19.6h[/tex]

[tex]\displaystyle h=\frac{1200}{19.6}[/tex]

[tex]h= 61.22449[/tex]

The height of the building is 61.22 meters.

To determine the price of servicing a car, a
mechanic charges a fixed fee plus an hourly
rate for each hour he works. If his price for
4 hours of service is $270, and his price for
7 hours of work is $420, what is the fixed fee
that the mechanic charges?
E. $50
F. $60
G. $70
H. $120

Answers

Answer:

G. $70

Step-by-step explanation:

$420 for 7 hours

$270 for 4 hours

Each of the above already includes the fixed fee.

Now we subtract the bottom line from the top line:

$420 - $270 = $150

$7 hours - 4 hours = 3 hours

$150/3 hours = $50/hour

For 4 hours, the hourly fee is $50/hour * 4 hours = $200.

Since the total charge for 4 hours is $270, then fixed fee is

$270 - $200 = $70

Answer: $70

The fixed fee that the mechanic charges is $70. Therefore, option G is the correct answer.

Given that, a mechanic charges a fixed fee plus an hourly rate for each hour he works. He charges $420 for 7 hours and $270 for 4 hours.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the mechanic charges x dollars per an hour.

The difference in the charges = $420 - $270 = $150

Difference in the hours = 7 hours - 4 hours = 3 hours

Now, x=150/3 = 50

So, $50 per hour is the mechanic charges for service.

For 4 hours, the hourly fee is 50 × 4 = $200.

Since the total charge for 4 hours is $270, then fixed fee is

$270 - $200 = $70

The fixed fee that the mechanic charges is $70. Therefore, option G is the correct answer.

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4x3+ 13x2 + 5x- 4 is divided by x+ 1?

Answers

Answer:

The quotient to this equation is 4x² + 13x + 1

Step-by-step explanation:

When we divide exponents, we subtract the exponential numbers.

4x³ + 13x² + 5x - 4 / x + 1

Now, we divide. For this problem, we are only dividing the like terms of x because anything divided by 1 will equal to itself.

4x² + 13x + 5 - 4

Now, we combine like terms.

4x² + 13x + 1

f(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2

Answers

Answer:5

Step-by-step explanation:

Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integers are included in R, but not in T?

Answers

Answer: PLEASE GIVE BRAINLIEST

72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

The number of integers in set R that are not included in set T is 72.

Given:

Set R = {10 to 125}

Set T = {82 to 174}

To find:

number of integers in set R but not in T

Integers from 10 to 81 inclusive in set R are not in set T since set T starts from 82.

Integers in set R but not in set T = {10 to 81}

The number of integers from 10 to 81, inclusive = (81 - 10) + 1

                                                               = 71 + 1

                                                                = 72

Thus, the number of integers in set R that are not included in set T is 72.

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4) 101
Is it rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

according to google the definition of RATIONAL is

(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion. Examples of rational numbers are 4 3 and 9

AND THE DEFINITION OF IRRATIONAL IS

(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.

so 101 is a whole number and whole numbers are always rational

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                       PEACE!

hi, please help me :)

Answers

Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

Which parent function is f(x)= |3|
A. The quadratic parent function
B.The linear parent function
C. An exponential parent function
D. The absolute value parent function

Answers

Answer:

D. Absolute value parent function

we can know fro the symbol |x| in the question written f(x)= |3|

In a circle, an arc measuring 130° is what percentage of the circumference of the circle

Answers

Answer:

≈ 36.1%

Step-by-step explanation:

In any circle the following ratio is equal

[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus

percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%

an arc measuring 130° is approximately 36.11% of the circumference of the circle.

To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Let's assume the radius of the circle is r.

The circumference of the circle is C = 2πr.

To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:

Fraction of the angle = (130° / 360°) = (13/36).

Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:

Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).

Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:

Percentage = (Arc length / Circumference) * 100

Percentage = [(13/36) * (2πr)] / (2πr) * 100

Percentage = (13/36) * 100

Percentage = 36.11%

Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.

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I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?

Answers

Answer:

The load the large truck can carry  is 2400 pounds

Step-by-step explanation:

Let the load the large truck can carry  = X

Let the  load each of the four trucks owned by the neighbor can carry = Y

The given parameters are;

The load the large truck can carry X = 600 + Y......(1)

The number trucks owned by the neighbor = 4

The load the large truck can carry X ≤ 1/3 × 4 × Y

Therefore, X ≤ 4/3 × Y

At maximum capacity, we have;

X = 4/3 × Y

Substituting the value of X into equation (1), we have;

4/3 × Y = 600 + Y

600 = 4/3 × Y - Y = 1/3·Y

Y = 3 × 300 = 1800 pounds

Y =  = 1800 pounds

Therefore, the load the neighbors truck can carry = 1800 pounds

X = 600 + Y gives;

X = 600 + 1800 = 2400 pounds

∴ The load the large truck can carry  = 2400 pounds

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy? A. 3 B. 5 C. 15 D. 17

Answers

Answer: B. 5

===================================================

How I got this answer:

j = 6 because you bought 6 bottles of juice

We use this to find the value of w

3w + 4j = 39

3w + 4(6) = 39 ... j replaced with 6 since j = 6

3w + 24 = 39

3w + 24-24 = 39-24 ... subtract 24 from both sides

3w = 15

3w/3 = 15/3 ... dividing both sides by 3

w = 5

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

If j = 6, then w = 5

To check this, we plug both values into the equation and we should get 39 on both sides

3w + 4j = 39

3(5) + 4(6) = 39

15 + 24 = 39

39 = 39 ... true statement; answer is confirmed

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

[tex]5\sqrt{2}[/tex]
[tex]\frac{5\sqrt{2} }{2}[/tex]
[tex]5\sqrt{3}[/tex]
[tex]\frac{5\sqrt{3}}{2}[/tex]

Answers

Answer:

[tex]$\frac{5\sqrt{2} }{2}$[/tex]

Step-by-step explanation:

[tex]x: \text{opposite side of the angle of 45\º}[/tex]

[tex]5: \text{hypotenuse of the right triangle}[/tex]

[tex]$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $[/tex]

[tex]$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $[/tex]

[tex]$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $[/tex]

You can just remember that 5 is the diagonal of a square of side length x.

[tex]$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $[/tex]

Other Questions
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