x^{2} +y^{2} =?
cho mình hỏi với

Answers

Answer 1

Answer:

[tex]{ \sf{ {x}^{2} + {y}^{2} = {(x + y)}^{2} - 2xy }}[/tex]

Step-by-step explanation:

[tex]{ \tt{ {(x + y)}^{2} = (x + y)(x + y) }} \\ { \tt{ {(x + y)}^{2} = ( {x}^{2} + 2xy + {y}^{2}) }} \\ { \tt{( {x}^{2} + {y}^{2} ) = {(x + y)}^{2} - 2xy}}[/tex]


Related Questions

Please help with Exponential Problem !!!

Answers

Answer:

D) f(3) = 54

Step-by-step explanation:

f(3) = 2 x 3^3

f(3) = 2 x 27

f(3) = 54

Hope this helps! Pls give brainliest!

Answer:

D

Step-by-step explanation:

first you need to do the exponent and you substitute the 3 in for ex

so 3^3=27

then you multiply it by 2 to get 54

PLEASE HELP!!

what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?

x^2-34=16x

Answers

Answer:

1: x =(16-√392)/2=8-7√ 2 = -1.899

2: x =(16+√392)/2=8+7√ 2 = 17.899

Step-by-step explanation: I found two solutions it’s either one or two.

I hope this helped :) I tried my best.

find the perimeter of the triangle A(4,-2) B(9,-2) C(9,10)

Answers

Answer:

  30 units

Step-by-step explanation:

A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:

  5² +12² = b² = 169

  b = √169 = 13

The perimeter is 5+12+13 = 30 units.

A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.

• -3.5

Answers

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

 

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

 

Final 8 bit floating point notation is

 

1

1

1

1

0

1

1

1

Step-by-step explanation:

Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?

Answers

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

Evaluate the difference quotient for the given function.

f(t) = g(t) h(t) , where g(t) = cos(t) and h(t) =sin(t)

Answers

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]

or

[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
is the ratio of hits to at-bats? Choose the correct answer in the most simplified
form:

Answers

Answer:

9/25

Step-by-step explanation:

find a number that both the top and bottom are divisible by,

23 is the greatest common division we can make such that the top and bottom remain whole numbers

so,

[tex]\frac{207 }{575}[/tex] ÷23

=(207/23)÷(575/23)

=[tex]\frac{9}{25}[/tex]

The national debt of a county is the total amount of money the government of that country owes. Imagine everyone in the United States was asked to help pay off the national debt. How much would each person have to pay?

(*Hint: Use the numbers below in your calculations.*)

According to npr.org, as of Feb. 2019, the US national debt was $22 trillion.
According to the United States Census Bureau, as of 2018, the US population was 327.2 million people.


PLEASE ANSWER

Answers

Answer:

Each person have to pay $67,237

Step-by-step explanation:

Amount each person would pay = Total amount of debt/ Size of Population

= 22000000000000/327200000

= 67237. 164

Approximately $67,237

Answer: 46572

Step-by-step explanation:

It is how you do the math  look over your answers you got this

Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be á pound less than he did in January. What is Euclid's weight?
4
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid's weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.

Answers

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

a) P - 13lb + 1.2*E = P - 1lbb) E =  10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.

We start by defining the two variables we will be using:

E = Euclid's weightP = Pythagoras's weight

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

If you want to learn more about algebra, you can read:

https://brainly.com/question/20607627

A six-sided number cube is rolled 500 times. The results are 280 even numbers and 220 odd numbers. How does the relative frequency of rolling an even number compare to the theoretical probability? Select from the drop-down menus to correctly complete the statements. The relative frequency of rolling an even number is Choose... the theoretical probability. The theoretical probability is Choose... and the relative frequency is Choose... .

Answers

Answer:

Choice B) experimental probability is larger

Step-by-step explanation:

There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5

When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65

Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.

Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.

Answer:

1: greater than

2: 0.5

3: 59%

Step-by-step explanation:

I took the test and here is da proof:

{I left it blank on purpose so other can see the right answer (: }

Please help me as soon as possible.

Answers

[tex]\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill[/tex]

(15,9) and (x,-3), find all x such that the distance between 2 points is 15

Answers

Answer:

See image

Step-by-step explanation:

I used distance formula to calculate. But if you haven't learned distance formula or solving radical equations, or solving equations by taking sq roots then maybe you were just supposed to graph it and look for the points. The answers came out to be nice neat numbers, so that is possible. x = 6 and x = 24

help help help help math math

Answers

Answer:

[tex]2916^3\\[/tex]

Step-by-step explanation:

As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]

But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]

And the radius is 9 half of Diameter

We would write it like this

=  [tex]\frac{4}{3}3\cdot 9^3[/tex]

Then when we solve it would become [tex]2916^3\\[/tex]

I hope this helps :)

Translate and simplify: the product of –12 and the difference of p and q.

Answers

Hey there!

“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”

p & q is/are the variables, whereas -12 is a coefficient

“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”

Product = multiply/multiplication

“-12 ×”

DIFFERENCE

“p - q”

So, based on that information we have your answer: “-12 × p - q”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain

Answers

Answer:

nolan is 15,

Step-by-step explanation:

3*7=21-6=15

solution:

age of Jason is 7

and Ashton is 3 times age of Jason=7*3=21

Nolan age=21-6=15

therefore the age of Nolan is 15 years

20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.

<1 and <5 are remote interior angles of <4.

_ and _ and are remote interior angles of <6.

_ and _ are remove interior angles of <2.

Answers

The sum of the remote interior angles are equal to the exterior angles.

The completed statements are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Reasons:

Remote interior angles are the angles that are not on the same vertex as an exterior angle

The remote interior angles of ∠4 are ∠1 and ∠5

Similarly, we have;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Learn more about the exterior and interior angles of a triangle here:

https://brainly.com/question/8797215

Drag and drop the fractions to order them from least to greatest. 2/3 -4/5 1/4 -3/7

Answers

Step-by-step explanation:

I hope this helps out bye.

√((2+√3)÷(2-√3))

what is the answer?​

Answers

Ok done. Thank to me:>

Sean has three dollars more than twice as much money as Peter if Sean has $10 how much money does Peter have

Answers

Answer:

peter has $3.50

Step-by-step explanation:

3.50 times 2 is 7 plus 3 is 10

What is the slope? X 0,1,2,3 y -5,-1,3,7

Answers

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz

Answers

Answer:

what are the measurements for 1 and 2?

Step-by-step explanation:

George Washington

I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?​

Answers

Based on the information given, it can be deduced that the annual interest rate will be 8.5%.

Principal = 5000

Interest = 5425 - 5000 = 425

Time = 1 year

Rate = Unknown.

Simple Interest = PRT / 100

425 = (5000 × R × 1)/100

42500 = 5000R.

R = 42500/5000

R = 8.5%

In conclusion, the correct option is 8.5%.

Learn more about the interest rate on:

https://brainly.com/question/25767935

A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swimming?

Answers

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

Given the following data:

Width of rectangle = 6 metersLength of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}[/tex]

Hypotenuse = 10 meters.

Read more here: https://brainly.com/question/18890335

(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.

Answers

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4

Answers

7 + 7 is actually 14 not 19 so that’s not true

Answer:

c.19 = 13 + 5

Step-by-step explanation:

h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?

Answers

The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

What are the zeros and vertex of the function?

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

Learn more about quadratic equations here:https://brainly.com/question/4038687

#SPJ1

The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?

Answers

The mean temperature would be 5 c.
You figure this out by adding both values, 4 and 6, and dividing it by 2 because there are 2 values. So the equation would be 4 + 6 = 10
10 / 2 = 5

which car can travel furthur on one gallon of gas/ green car 18.4 miles on 0.8 gallons or black car 17.4 miles on 0.75 gallons

Answers

Answer:

The black car

Step-by-step explanation:

First, we need to fin the mile to gallon ratio.

To get this we would divide the number of miles by the gallon for each car

Green Car:

18.4/0.8

23 miles per gallon

Black car:

17.4/0.75

23.2 miles per gallon

In conclusion, The black car would travel further on one gallon of gas than the green car would.

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles

Answers

Answer:

1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

6 minutes          x minutes

----------------  = ------------------

18 miles                  1 mile

Using cross products

6 * 1 = 18 x

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 = x

1/3 minutes

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