The sum of the squares of two numbers is 202 the difference of the numbers is -2 both numbers are positive find the numbers

Answers

Answer 1

Answer: a2 + b2 = 202

Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.

Answer 2

Answer:

[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex]  ⇔  [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]

Step-by-step explanation:


Related Questions

Last week, Byron bought 5 containers of yogourt and spent $12.88 on other groceries.
This week casandra bought 3 containers of the same yogourt and spent $11.50 on other groceries. How much more money did byron spend than casandra

Answers

Answer:

Byron spent 0.62 cent more than Casandra.

Step-by-step explanation:

It says how much more money did Byron spend than Casandra?

So you have to take how much Byron had and subtract it by how much Casandra had.

$12.88 - $11.50 = $0.62

And that's how you get your total on how much more did Byron spend than Casandra.

This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).

Answers

Answer:?

Step-by-step explanation:?

Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class

Answers

Answer: C

Step-by-step explanation:

i took the test

(3 questions for 40 points)

7. Given XPS = DNF, find the values of x and y

8. Given MTW = BGK, find the values of x and y

9. Given PRS = CFH, find the values of x, y, and z

Answers

7. X= 54/17 Y= 57/4
8. X= 12 Y= 35/11
9. X=23 Y= 7 Z= 11

solve for x in the triangle!!!

Answers

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

PLEASE HELP EXPLANATION 100 POIUNTS

Answers

Answer:

y=55

z=38

x=84

Step-by-step explanation:

Important thing to understand is that the angles in a triangle all add up to 180

A straight line also has an angle measure of 180

In the triangle on the left hand side. You can find y pretty easily

35+90 ( the angle is marked as a right angle) = 125

180-125 = 55

so y = 55

z can be found the same way

52+90 ( again marked) = 142

180-142 = 38

so z = 38

Since a straight line has a angle measure of 180 we can find x

z+y+x = 180

38+55+x=180

96+x=180

x=84

z:-

180-52-90180-14238°

x

x+z=35+90x+38=125x=87°

y:-

180-90-35180-12555°

Help pleaseeee

Correct answers only​

Answers

Answer: D 10

Step-by-step explanation:

GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.

Answers

Answer:

26 degrees

Step-by-step explanation:

The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.

From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.

(soh cah toa)

[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]

Now, just plug in the 2 known values and solve for the unknown:

[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]

The angle is 26 degrees, and you can check that by doing it in reverse:

[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]

PLEASEEEE HELPOOOOOOO

Answers

Answer:

The answer would be the purple line

and if I am wrong I think it is the red line

Step-by-step explanation:

Because our slope is -2 and the point is (-1,2)

the equation of the graphed line would be [tex]y = -2x[/tex] which is a linear equation

and the formula for the linear equation is [tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept and because we don't have a y-intercept the equation will look like y=-2x

12 lbs of
potatoes
for $15.00
OR
8 lbs of
potatoes
for $9.20

Answers

Answer:

12 lbs for $15

Step-by-Step Solution:

12 / $15 = $0.80

8 / $9.20 = $0.87

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

Answers

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

8
-6
4

-8-
What is the domain of function m?
co
-2
-8
6
- 4
x
HELPP

Answers

Answer:

( - ∞, ∞ )

Step-by-step explanation:

The domain of the function is all values of x , that is

- ∞ < x < ∞ , or in interval notation

(- ∞, ∞ )

Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
A 65 ÷ 13
B 65 ÷ 130
C 650 ÷ 130
D 650 ÷ 13

Answers

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

The expression 12 + 4x - 2x + 8 simplifies to what?

Answers

Answer:

2x + 20

Step-by-step explanation:

[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]

Hope this helps.

Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)

Answers

Answer:

thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles

Step-by-step explanation:

We can convert 1 hour to 60 minutes

[tex]60\div20=3[/tex]

Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12

[tex]3\cdot12=36[/tex] of a miles

thirty-six of a miles

Brainliest please :)

Answer:

Vanessa walks her puppy for 36 miles in 1 hour.

Step-by-step explanation:

She walks 12 miles in 20 minutes

1 hour = 60 minutes

There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles

-Chetan K

f(x) = 5x – 2

slope of f =

Answers

Answer:

? we dint know

Step-by-step explanation:

Can someone plz help me out i rlly need to pass this

In the diagram, z∘ and y∘ are the measures of two complementary angles.

Also, the measure of one of the angles is 29.6∘

What is the correct value for x?
Enter your answer as a decimal, if necessary, like this: 42.5

Answers

Answer:

x= 60.4

Step-by-step explanation:

y = 60.4

z= 29.6

x= 60.4

By complementary angle rule

A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?​

Answers

Answer:

P = 34 1/8 inches

Step-by-step explanation:

P = 2l + 2w

P = 2(10 3/16) + 2(6 7/8)

convert 10 3/16 to an improper fraction:  163/16

convert 6 7/8 to an improper fraction:  55/8, which equals 110/16

P = 2(163/16) · 2(110/16)

P = 326/16 + 220/16

P = 546/16

P = 34 1/8 inches

add the following rational number =
3/11 and -5/12

Answers

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]

i don’t understand! help pleaze how do i find the side lengths??

Answers

Answer:

A

Step-by-step explanation:

cos x  = adjacent side / hypotenuse

cos 60 = 9√2/2  / x

1/2 = 9√2/2  / x

x = 9√2

tan x = opposite side / adjacent side

tan 60 = y /  9√2/2

√3 = 2y / 9√2

9√6 = 2y

y = 9√6/2

In parallelogram NPQR if m&NPQ=125° find m&PQR.

Answers

Answer:

55

Step-by-step explanation:

(360 - 125 - 125) / 2 = 55

Opposite angles are the same in a parallelogram.

can someone help me with this please:) ​

Answers

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

Please help me with this homework

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]

What is (n+9) - (2-2n)​

Answers

Answer:

Simplifying

(n + 9) + -1(2 + -2n) = 0

Reorder the terms:

(9 + n) + -1(2 + -2n) = 0

Remove parenthesis around (9 + n)

9 + n + -1(2 + -2n) = 0

9 + n + (2 * -1 + -2n * -1) = 0

9 + n + (-2 + 2n) = 0

Reorder the terms:

9 + -2 + n + 2n = 0

Combine like terms: 9 + -2 = 7

7 + n + 2n = 0

Combine like terms: n + 2n = 3n

7 + 3n = 0

Solving

7 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 0 + -7

3n = 0 + -7

Combine like terms: 0 + -7 = -7

3n = -7

Divide each side by '3'.

n = -2.333333333

Simplifying

n = -2.333333333

Step-by-step explanation:

Which expression shows the distance on the number line between −3 and −10 ?

Answers

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)

Answers

Answer:

D

Step-by-step explanation:

move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)

what is the answer to this problem its too hard -36= - w/8

Answers

Answer:

w=288

Step-by-step explanation:

-36=-w/8

-36•8=-w

-288=-w

w=288

Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2

Answers

Step-by-step explanation:

I guess, this expression really is

-9k² + 6k² - 7k² - 5k² + -8k² + -2k²

remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.

all the terms in this expression are about k². so we can combine them all

k² × (-9 + 6 - 7 - 5 - 8 - 2) =

k² × -25 or simply -25k²

always also remember the rules of combining signs and operations :

++ = +

+- = -

-+ = -

-- = +

Other Questions
Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m= Lexon Corp. produces high-nutrition breakfast products. As it enters into foreign markets, it faces strong pressures for both reducing costs and adapting products for local markets. Based on this, the company should use a Can someone please help me with this? For what values of x and y are the two triangles congruent by HL? The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed? 5. Look at the shaded products. What pattern do you see? Can someone write me a small paragraph retelling the life of Alfred Nobel (the founder of the Nobel Prize) ? ( PS the last guy who answered literally just talked about the public domain for 5 lines, which was not helpful at all, and completely unrelated) . Se mezcla caf del tipo A de 6 /kg con caf del tipo B de 4,5 /kg para obtener una mezcla de 60 kg a 5 /kg. Cuntos kilogramos de caf debemos tomar de cada tipo? Can someone plsss help me with 7 8 9 and 10 plssss Ill give u brainliest (Q002) Which of the following best explains the very large increase in the number of sugar works inJamaica during the eighteenth century?o African states wanted to increase the number of slaves being exported in order to buy morefood.o The British were trying to grow more sugar than the Dutch East India company was importingfrom Asia.o European demand for sugar increased.O Taxing sugar was an important way for the British government to make up its trade deficit withJamaica. Cellular respiration is a complex process that1- occurs before autotrophs are able to carry out photosynthesis 2- occurs only in animals that take in oxygen3- is performed only by organisms that are incapable of photosynthesis 4- breaks down organic molecules to release stored energy Which law sets limits on how much presidential and vice presidential candidates and their families can donate to their own campaigns How to find unique prime factorization of 10 factorial. Avery bought a washing machine originally priced at $864.72 but on sale for 30% off. After 4% sales tax, what was the total cost? A grocery store buys cashews for$8 per pound. The store wants tomarkup the price by 20%. Whichexpression below could be used tofind the new price of the cashews Soil forms layers when mixed with water. sand is found above what ? ProblemWhat is the meaning of the phrase "dark age" in paragraph 2?Aan age of ordinary mathematics underGreek ruleBan era of exploring challenging ideas andconceptsa period of development for ancient GreeksCOand RomansDa period marked by lack of knowledge andprogress can I get some help.and no link I have the table already I just need the information. it's graded please True or false? if a study utilizes a simple random sampling method, that means each member of the population of interest was equally likely to be selected as a study participant. During the Renaissance period, theform of music known as themadrigal wasA. developed in England.B. developed in America.C. developed in Russia.