1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
15

If a+b=9 and ab=18,find the value of a and b.

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

:)

You might be interested in
Find the variance of this probability distribution. Round to two decimal places.​
attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\

Where:

X: Values \\\mu: Mean \\N: Number\ of\ values

The mean can be calculated as each value multiplied by its probability

\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15

\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6

Replacing the mean and the summatory of X:

\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775

4 0
3 years ago
a carpenter has a board that is 8 feet long he cuts of 2 pieces one piece is 3 and a half feet long the other is 2 and one feet
kakasveta [241]
3 1/2 I think
8-3 1/2=5 1/2
5 1/2-2=3 1/2
5 0
2 years ago
Read 2 more answers
A kayaker spends a morning paddling on a river. She travels 9 miles upstream and 9 miles downstream in a total of 6 hours. In st
tresset_1 [31]
To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.

When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed. 

 Total time = 9/(4 - y)  + 9/(4 + y) = 6

We multiply the equation by (4-y)(4+y)
              9(4-y) + 9(4 + y) = 6(4-y)(4+y)

Simplifying,
                72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
               6y² = 96 - 72
                 y² = 4
                    y = 2

Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
5 0
3 years ago
What does 5 - n represent
sineoko [7]

Answer:

Some number or variable less than 5.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An automobile travels 305 miles on 16 2/3 gallons of gasoline.
Nimfa-mama [501]

Answer:

Step-by-step explanation:

Cost of a Road Trip Jesse's car gets 30 miles per gallon of gas. (a) If Las Vegas is 285 miles away, how many gallons of gas are needed to get there and then home? (b) If gas is $3.09 per gallon, what is the total cost of the gas for the trip.

6 0
2 years ago
Read 2 more answers
Other questions:
  • (10 points)4 5/6 + 9 5/9 =
    9·2 answers
  • Four times the difference of a number and 7 is 32
    10·1 answer
  • Help with this question pleases
    6·2 answers
  • Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?
    9·2 answers
  • What is 3/4 of 2/3? <br><br> 8/9<br> 6/12 or 1/2<br> 12/6 or 2
    5·1 answer
  • Find the slope.....<br>​
    9·1 answer
  • What is the length of BC PLEASE HELP ME ILL GIVE YOU BRAINLIEST
    6·2 answers
  • Who wants to have a full on conversation before this question gets deleted?
    11·2 answers
  • QUICK PLEASE HELP ME ANSWER THESE QUESTIONS AND SHOW WORK!!!<br> I WILL MARK BRAINLIEST!!!
    14·2 answers
  • Quick algebra 1 question for some points!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!