If the legs of a right triangle are given by x^2 - y^2 and 2xy then which expression equals the hypotenuse ? Choose all that apply

If The Legs Of A Right Triangle Are Given By X^2 - Y^2 And 2xy Then Which Expression Equals The Hypotenuse

Answers

Answer 1

Answer:

[tex]\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}[/tex]

Step-by-step explanation:

Hypotenuse of a right triangle can be found using the Pythagorean theorem which states that both legs squared and added is equal to the hypotenuse squared. In other words, if A and B are legs and C is the hypotenuse:

[tex]C=\sqrt{A^2+B^2}[/tex]

We are told that one of the legs is [tex]x^2-y^2[/tex] and the other is [tex]2xy[/tex] so we get [tex]\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}[/tex] when we substitute the legs into the formula presented above.


Related Questions

please help click image for question

Answers

Answer:

12c8/d2.....option 1.........

.............option1............

the scale price is 120% . This is 75% of the original price. find the original price​

Answers

Answer:

160%

Step-by-step explanation:

120% = 75%

1.6%=1%

160%=100%

therfore 160% is the original

2.) Vito uses 9 liters of water to water 20 flower pots. He is wondering how many liters of water (w) it
would take to water 40 flower pots. He assumes he will use the same amount of water on each pot.
How many liters of water does it take to water 40 flower pots?

Answers

Answer:

18 liters of water to water 40 flower pots

Step-by-step explanation:

Because you doubled the amount of flower pots and you just do the same thing with the water

help i hate .math..........

Answers

6 divided by [tex]\frac{8}{9}[/tex] is the same as 6/1 multiplied by 9/8, which gives us 7 as the whole answer. therefore, I think number 1 and 4 are the correct selections

1+2
Please help
filler filler filler​

Answers

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

The total cost of a compact disc, including a 6% sales tax, is $14.31.
What is the price before the tax?
$13.50
$13.45
$13.44
$15.17

Answers

It's 13.50 I'm pretty sure
$13.50 • 1.06 is $14.31

The cost of a compact disc before the sale tax is $13.45. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total cost of a compact disc, including a 6% sales tax, is $14.31.

The cost before the sale tax will be calculated as,

Cost = 14.31 x ( 1 - 0.06 )

Cost = 14.31 x 0.94

Cost = $13.45

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

What is this problem ? 6/2(1+2)= ? but yo can't look this answer up ok and another thing explain

Answers

Answer:

9.

Step-by-step explanation:

First solve 1+2. That is 3.

6/2 is 3.

So then we have 3 x 3, which is 9.

(pls mark as brainliest, thank you)

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h

Answers

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km.Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake.She paddles across the lake for one hour longer than she paddled up the river.

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

What's the coefficient of -C.

Answers

Answer:

here we have -C

The Coefficient of -C is -1

i’m just gonna say something because i want points sorry

What is sin 45°?
45°
va
1
1
90°
45°

Answers

Answer:

Step-by-step explanation:

330

The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops
Price (dollars)
3
6.50
7
12.50
11
18.50
What is the fee per stop?

Answers

I got $1.50

Hope I helped

What is 22.5% of 90?
A) 20
B) 20.25
C) .2025
D) 2025

Answers

Answer: B) 20.25

Step-by-step explanation:

22.5% = 0.225

22.5% of 90 = 0.225 * 90 = 20.25

Hope it helps and lmk if you need more info <3 :D

Answer:

B. 20.25

Step-by-step explanation:

22.5 percent *90 =

(22.5:100)*90 =

(22.5*90):100 =

2025:100 = 20.25

Please Answer
If each quadrilateral below is a rectangle, find the missing measures

Answers

To solve for YW and VX I would use the Pythagorean Theorem. Add 19^2 to 31^2. Your answer should come out to be 1322. Now, find the square root of 1322. Due to the fact that it is not a perfect square, I would round this number. I am not sure if you were given a decimal place to round to, so I will just give you the full number (36.35932) Also, both diagonals are congruent, so ZX would just be half of 36.35932. Again, round the where you are asked to round.

ANSWER ASAP I NEED HELP!!!!
Using the triangle inequality theorem. Do these side measures form a triangle? 9,5,7
yes or no.

Answers

Answer:

[tex]9x + 5y < 7[/tex]

this is the way u perfom enequality therom

now weite ur answer

Step-by-step explanation:

Triangle inequality theorem =The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9 + 5 > 7

14 > 7 (True) ✔

5 + 7 > 9

12 > 9 (True) ✔

9 + 7 > 5

16 > 5 (True) ✔

So these side measures form a triangle.

hope you understood.

Tiffany has a job at the Best Bite Restaurant making $8 per hour. She earned $25 for the training shift. Find the rate of change and initial value. Write an equation.​

Answers

Answer:

Initial value: $25; Rate of change: 48; Equation: y= 8x + 25

Step-by-step explanation:

The initial value would be the $25 due to the fact that that's how much money she made during training. After that, her money will go up by $8 for every hour she works for, which is why that's the rate of change.

The equation just restates all that, the rate of change is always represented by the mx in the equation (8 replaces the m), and 25 replaces the b, the start of the line, or on a graph, where the initial dot would be on the y-axis.

Hope this helped!

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched between the tops of the posts, how far apart are the posts?​

Answers

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = [tex]\sqrt{495}[/tex]

a = [tex]\sqrt{9}[/tex] · [tex]\sqrt{55}[/tex]  =  3[tex]\sqrt{55}[/tex], which is approx 22.25

Answer:

about 22.25 feet

Step-by-step explanation:

You can think of it like a triangle, which you can see at the bottom

Then, use the pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex].

you have a = 9 and c = 24, so

[tex]9^2 + b^2 = 24^2\\81 + b^2 = 576\\b^2 = 495\\b = \sqrt{495} = 3\sqrt{55} = about 22.25[/tex]

What number replaces C to complete the square of the equation below

Find the solution to problem seven using the complete square method

Answers

Answer:

c= 25, solutions: x = 3, x= -13

Step-by-step explanation:

(10/2) ^2 = 25

(x+5)^2 = 64

Simplify. -y -7x + 7y
The simplified expression is ___y - ____x.

Answers

Answer:

the simplified expression is: 6y-7x

Step-by-step explanation:

-y+7y= 6y

           -7x

           = 6y-7x

Simplify the polynomial by combining like terms. Make sure your anwser is in standard form: 4x + 7 - 8x (2) + 2x + 5x (2) - 11

Also, keep in mind that the numbers that are in parenthesis are the exponents. ​

Answers

Answer:

-3x² + 6x - 4

Step-by-step explanation:

Simplify:

4x + 7 - 8x² + 2x + 5x² - 11 =x²(-8 + 5) + x(4 + 2) + (7 - 11) =-3x² + 6x - 4

Answer:

[tex] \tt \huge \boxed{ \boxed{\color{silver} { - 3x}^{2} + 6x - 4}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:algebraalgebraic addition subtractionPEMDAStips and formulas:quadratic expression standard form:ax²+bx+corder of PEMDASparenthesesexponentmultiplication ordivisionadditionsubtractionleft to rightgiven:4x+7-8x²+2x+5x²-11to dosimplificationlet's do:

[tex]step - 1 : define[/tex]

[tex] \sf 4x + 7 - {8x}^{2} + 2x + {5x}^{2} - 11[/tex]

[tex]step - 2 : simplify[/tex]

[tex] \tt \: rewrite : \\ \sf {8x}^{2} + {5x}^{2} + 4x + 2x + 7 - 11[/tex][tex] \tt \:combine \: like \: terms: \\ \sf { - 3x}^{2} + 6x + 7 - 11[/tex][tex] \tt \: substrak : \\ \sf { - 3x}^{2} + 6x - 4[/tex]

therefore

we can see the expression is in standard form since a,b and c is -3,6 and -4

also let's justify it

substitute the value of a,b and c respectively

(-3)x²+(6)x+(-4)

-3x²+6x-4 (proven)

Help pleasee , find the length of the missing side . The triangle is not drawn to scale

Answers

Answer:

$*

Step-by-step explanation:

$=4 *=8

48

What is the slope of the line on the graph?

Answers

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

please help!!! A pair of parallel lines are reflected. Which of these could be the result? thankyou!! (will mark brainliest

Answers

The answer is C!!!!!!

Answer:

C

Step-by-step explanation:

parallel lines never cross

Describe the location of the point having the following coordinates.
negative abscissa, zero ordinate

A. between Quadrant I and Quadrant IV
B. between Quadrant II and Quadrant III
C. between Quadrant II and Quadrant IV
D. Quadrant II

Answers

Answer:

between quadrant 2 and 3

Step-by-step explanation:

The table shows the relationship between c, the number of calories burned and f, the number of stairs climbed. What is the equation that best represents the relationship between f and c shown in the table?

Answers

Answer:

c=5f

Step-by-step explanation:

the number of calories burned is five per each flight of stairs

me podrían decir cuanto es 21/43+8/17 plis​

Answers

Answer:

701/731

Step-by-step explanation:

Espero que ayude

puedes marcarme branliest??

Answer:

701

------- = 0.958960328

731

Step-by-step explanation:

21/43 + 8/17 es

21/43 + 8/17

21      8     701

---- + ----- = -----

43      17     731

what is f(3) if f(x) = –4x + 1?

Answers

════════ ∘◦❁◦∘ ════════

Answer = -11

════════════════════

Known

f(x) = -4x + 1

════════════════════

Question

f(3) = ..?

════════════════════

Way to do

#since the x in (x) changed into (3) this means that the x change into (3)

f(3) = -4(3) + 1

f(3) = -12 + 1

f(3) = -11

════════════════════

Answer:

f(3) = 13

Step-by-step explanation:

4x3=12

f(3)=12+1

12+1=13

What is the length of AB

Answers

d

Step-by-step explanation:

because that is the answer

The correct answer is D

The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house

Answers

Okay, what's the question!

Answer:

12 i think

Step-by-step explanation:

mrs.gretta is teaching a 5th grade class. She is standing 12 meters in front of ethan. isabella is sitting to ethans right. if isabella and mrs.gretta are 15 meter apart how far apart are ethan and isabella?

Answers

Answer:

Ethan and Isabella are 9 meters apart.

Step-by-step explanation:

1. We can solve this using the Pythagorean Theorem, a²+b²=c².

2. Mrs. Gretta is standing 12 meters in front of Ethan, so a=12.

3. Isabella is sitting to Ethan's right, but we don't know how far away, so b=x.

4. Mrs. Gretta is 15 meters from Isabella, so c=15.

5. Plugging these variables into the equation, we get 12²+x²=15² which equals 144+x²=225.

6. We can move 144 to the other side to get x²=81, then square the 81 to get x=9.

7. Therefore, the answer is 9. Ethan and Isabella are 9 meters apart.

The measure of two side of a triangle are given. If p is the perimeter and p=18x+9y find the measure of the third side?

Answers

Answer:

2x + 2y

Step-by-step explanation:

10x + 5y - ( 3x + 4y + 5x - y )

10x + 5y - 3x - 4y - 5x + y)

2x + 2y

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