Given a²+b²=49 and a+b=9, then ab=?​

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Given,

a²+b²=49

a+b=9

Now,

a²+b²=49

(a+b)^2-2ab=49

9^2-2ab=49

81-49=2ab

32/2=ab

ab=16


Related Questions

Please help me understand

Answers

Answer:

2

Step-by-step explanation:

The scaled factor has to be 2 because 4*2=8. You can check 2 is the correct answer by doing 8/2, which is 4. The scaled factor has to be proportional so if one side of ABC was 2 but the same side on ABC prime or A’B’C’ was 10 it would not be proportional, not a scaled factor. Because 2*10 is 5, not 8. But it does not give any other side lengths so it is 4.

An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.

Answers

Probabilities are used to determine the chances of an event.

The probability that the two bags are selected for extra screening is 0.02

The given parameters are:

[tex]n = 2[/tex] --- number of bags

[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening

The probability that the two bags are selected for extra screening is:

[tex]P(2) = p^n[/tex]

So, we have:

[tex]P(2) = (14\%)^2[/tex]

Express percentage as decimal

[tex]P(2) = (0.14)^2[/tex]

[tex]P(2) = 0.0196[/tex]

Approximate

[tex]P(2) = 0.02[/tex]

Hence, the required probability is 0.02

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

0.02 i did khan academy pls mark brainliest

Step-by-step explanation:

less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12

Answers

Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

1 point
Find the slope of line from the graph.
rd
E
s
1
ar
x
N

Answers

Answer:

Option 3:  Undefined

Step-by-step explanation:

The linear equation of the vertical line, x = 2 has an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate.

Therefore, the correct answer is option 3: undefined.

Please mark my answers as the Brainliest if you find this explanation helpful :)

0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)

Answers

if you’re checking to see if this is correct, it is!

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

Answers

9514 1404 393

Answer:

  -5x^4 +6x^3 -x +3

Step-by-step explanation:

First, eliminate parentheses.

  (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

  = -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2

Then collect terms.

  = -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3

  = -5x^4 +6x^3 -x +3

Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.

Answers

Answer:

The equation for this sentence is: 9 = 2(4y)

Answer:

2(y + 4) = 9

Step-by-step explanation:

Two times the sum of a number and 4 equals 9:

2(y + 4) = 9

3r+(7+8)/(t-3)when r=4, s=3 and t=5

Answers

Answer:

19.5

Step-by-step explanation:

3r+(7+8)/(t-3)

3(4)+(15)/(5-3)

12+(15/2)

12+7.5

19.5

Ratios
Alexander has a Collection of baseball cards he wants to organize it’s way book use the table to determine how many pages he will hold 234 cards

Answers

Step-by-step explanation:

setup a porportion. Make it pages/cards. Solve for the number of pages, p.

[tex] \frac{3}{18} = \frac{p}{234} [/tex]

reduce the fraction 3/18

[tex] \frac{1}{6} = \frac{p}{234} [/tex]

cross multiply

[tex]6p = 234[/tex]

divide by 6

[tex] \frac{6p}{6} = \frac{234}{6} [/tex]

[tex]p = 39 \: pages[/tex]

There are 39 pages he will hold for 234 cards.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent

to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Alexander has Collection of baseball cards which he wants to organize.

Now, By the given table;

The ratios for Pages to cards are,

Number of pages : Number of cards

⇒ 3 : 18

After simply;

⇒ 1 : 6

And, 6 : 36 = 1 : 6

Thus, Let number of pages for the given cards = x

Then, By the definition of ratio we get;

x : 234 = 1 : 6

Solve for x as;

x / 234 = 1/6

x = 234/6

x = 39

Thus, There are 39 pages he will hold for 234 cards.

Learn more about the ratio visit:

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Sanderson Bhp finds that 30% of its costs are direct labor. Each week raw materials cost $2,000 more than twice this amount, and there is an overhead of 20% of direct labor costs. What are the company’s weekly costs?

Answers

Answer:

9375

Step-by-step explanation:

x=weekly cost

direct labor= 30/100*x

raw aterial= 2000+2*2000=6000

x=0.3x+6000+0.06x

x-0.36x=6000

0.64x=6000

64x=600000

x=9375

¿Es 42.497.365 divisible por 6?

Answers

No, 42,497,365 is not divisible by 6.

Hope it helps you! :)

[tex]GraceRosalia[/tex]

Which set of ordered pairs does not represent a function?
O {(5, -1),(-3, -3), (8,4),(4, -3)}
O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}
O {(-2,1),(-8,0), (6, 7), (8, 7)}
O {(5,-3), (-6,2), (-5,3), (1, 2)}

Answers

Answer: set 2 : O{(-6, -7), (-3, -3), (-2,-8), (-6,4)}

Step-by-step explanation: In order for a set of ordered pairs to be a function, then each input can correspond to only 1 output. In the context of your question, this means there cannot be two ordered pairs which have the same x value. The second set of ordered pairs does not represent a function because the input x = -6 corresponds to two different outputs, y = -7 and y = 4.

Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)

Answers

refer to the attachment!!

Emma buys 9 bottles of pineapple juice at the corner store for a total cost of $10.62.
Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of j that matches the context.

Answers

$1.18

Step by step explanation :

9c = 10.62

c = 10.62/9

c = 1.18

A robot can complete 7 tasks in 3/10
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one​ task?
b. How many tasks can the robot complete in one​ hour?

Answers

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A package of 4 pairs of insulated costs ​$24.76. What is the unit price of the pairs of ​?

Answers

24.76 / 4 = 6.19

It will cost $6.19

also this question pls hurry with this i ready question you will be awarded 100

Answers

Answer:

1 hour equals 18 bucks

144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks

Step-by-step explanation:

144 divided by 18 equals 8

HELP PLS its due tomorrow ​

Answers

The first one is -4, second is 0, last is 5

HELP PLEASE!!!!!!!!!!!

Answers

Answer:

x = 4.4

Step-by-step explanation:

The ratios of corresponding sides are in proportion , that is

[tex]\frac{x}{11}[/tex] = [tex]\frac{4}{10}[/tex] ( cross- multiply )

10x = 44 ( divide both sides by 10 )

x = 4.4

Following the October 15, 2019, fourth Democratic debate, Drudge Report ran an online poll on its website and asked readers who won the debate. A total of 208,001 votes were cast, with Gabbard receiving 79,881 votes (38%), Yang receiving 37,944 votes (18%), Buttigieg receiving 25,337 votes (12%), Warren receiving 14,405 votes (7%), Kloubachar receiving 13,142 votes (6%), Biden receiving 11,246 votes (5%), Steyers receiving 7,791 votes (4%), Sanders receiving 7,672 votes (4%), and the remaining candidates each receiving 1% or fewer votes. The sample size for this poll is much larger than is typical for polls such as the Gallup Poll. Explain why the poll may give unreliable information about the voting population, even with such a large sample size.

Answers

Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:

First, it is an online survey, where the interviewer does not decide who to interview and, therefore, the sample from which the result is obtained has not passed through the necessary heterogeneity filters. Second, because even in the case of a large number of people, since these voters are voluntary, there is no certainty that their responses are objective or neutral, which affects the final result.

Learn more in https://brainly.com/question/1590463

If u guys help
Me this should be easy depending on who’s doing it ok what are the answers to this u guys have to figure it out This is 3rd grade homework I trying to help my friend and he doesn’t know what the rest are can u help please asap

Name
wrap
sign
wrote
gnaws
wring
knee
wreath
knit
knife
knight
knock
write
gnome
wrists
wreck
A. Write the spelling words that match the clues below.
1. street marker
S
4. a sharp tool
ínite
MA
2. tap on a door
5. cover a gift with paper
3. a ring of plants used for
decoration
B. Write the spelling word that best completes each sentence.
6. The doctor checked both her
after she fell.
P
7. He
a letter to the mayor about the park.
8. I am learning to
a wool scarf.
9. A beaver
trees into logs.
10. My friend likes to
silly poems about animals.
11. My little sisters
my room when they come in.
12. My story is about a brave
- who fights dragons.
13. I scraped my left
when I fell off my bike.
14. A
is small and usually wears a pointed hat.
15. We will
out the wet towels.

Answers

Answer: look at explanation

Step-by-step explanation:

number 3. wreath

number 8. knit

number 9. gnaws

number 10. write

number 11. wreck

number 12: knight

number 14: gnome

number 15: wring

x2−5x+8 if x=3 plz help

Answers

Answer:

Step-by-step explanation:

if its x to the second power:

(3)^2-5(3)+8= 9-15+8=17-15=2

if it is 2x

2(3)-5(3)+8=6-15+8 =-1

Find each product -1(9)

Answers

Answer:

-9

Step-by-step explanation:

-1×9. that is how it is

I need help with this problem, if someone could help me? Please don't guess I really need to understand this algebra.

Answers

Hi, sir or ma'am, you said you needed help but you provide no information on what to help you with, no picture or anything.

Answer:

You need to upload an image of what you are talking about

Step-by-step explanation:

dan wants to pout 90.94 grams of salt into a container. so far, he has poured 39.2 grams. how much more salt should dan pour ?

Answers

He should pour 51.75 more grams

Answer: its 51.74

Step-by-step explanation: I just did it

help for brainliest please

Answers

Answer:

2nd option: P'Q'=16.8 mm

Step-by-step explanation:

Translating vertically just means the graph shifted up or down in the direction of y axis, it will not change the shape or size of the original graph.

A mixed nuts factory makes a 10 pound mixture of almonds, walnuts, and
cashews. Almonds cost $1.25 per pound, walnuts cost $2.75 per pound,
and cashews cost $3.15 per pound. The mixture calls for twice as many
almonds as walnuts. The total cost of the mixture is $18.90. How much of
each ingredient did the store use?

This is a System of equations problem

Answers

Answer

x+y+z=10

1.25x+2.75x+3.15x+18.90

x=2z

Step-by-step explanation:

x=almonds

y=walnuts

z=cashews

9514 1404 393

Answer:

6 pounds almonds3 pounds walnuts1 pound cashews

Step-by-step explanation:

We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...

  a +w +c = 10 . . . . . total pounds of nut mix

  a = 2w . . . . . . . . . twice as many almonds as walnuts

  1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix

__

Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.

We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.

  2w +w +c = 10   ⇒   3w +c = 10

  1.25(2w) +2.75w +3.15c = 18.90   ⇒   5.25w +3.15c = 18.90

Solving the first of these equations for c, then substituting into the second of these equations gives ...

  c = 10 -3w

  5.25w +3.15(10 -3w) = 18.90

  -4.20w +31.50 = 18.90 . . . . simplify

  12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90

  3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20

  c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c

  a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a

The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.

_____

Additional comment

The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.

please help me!!!!!!! ​

Answers

Answer:

a = 3 , b = 5

Step-by-step explanation:

Find the missing length indicated

Answers

Step-by-step explanation:

10)

again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.

all these 3 triangles are similar to each other (the angles must be the same).

therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.

so,

x/36 = 64/x

x² = 64×36

x = sqrt(64×36) = 8×6 = 48

11)

same principle.

x/36 = 100/x

x² = 100×36

x = sqrt(100×36) = 10×6 = 60

12)

same as 11)

x/9 = (16+9)/x = 25/x

x² = 25×9

x = sqrt(25×9) = 5×3 = 15

What is the distance between the points (4,7) and (4, -5)

Answers

The answer would be 12

Hope this helps!

Answer: It is 12

Step-by-step explanation:

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