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

Answers

Answer 1

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

:)


Related Questions

The y intercept is represented by what variable in the equation y=my+b

Answers

Answer:

b

Step-by-step explanation:

Answer:

The y-intercept is represented by the variable b in this equation.

A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the frame?

Answers

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

Answer:

192

Step-by-step explanation:

Find the difference. Express your answer in lowest terms.
22 1/3 - 6 3/4

Answers

Answer:

15 7/12

Step-by-step explanation:

I’ll mark brainliest!!

Answers

All four angles sum to 360 so the remaining two add to 360-180-20=160.  

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Answer:

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Step-by-step explanation:

what is the slope on the line ?
please help me.

Answers

rise/run so it would be 5/3

Answer:

4/7

Step-by-step explanation:

you go to the right 4 times then up 7

This is an economic question so I didn't find a category for it.

what is most important skill when preparing for a certification exam?
A. Leadership
B.Communication
C.Time management
D. Reading

Answers

C time management i think

4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?

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

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Subtract the $60 out of the total first

250 - 60 = 190

Divide this value by pay per sale:

190 / 4.50 = 42.2222

Thus, they must make 43 sales in order to meet the goal

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

PLEASE HELP TY
show all work

Answers

Answer:

36 cm

Step-by-step explanation:

[tex]V= \frac{4}{3} \pi r^{3}[/tex]

[tex]3V= 4\pi r^{3}[/tex]

[tex]r^{3}=\frac{3V}{4\pi }[/tex]

[tex]r= 3\sqrt{\frac{3V}{4\pi } }[/tex]

[tex]r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }[/tex]

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

The volume of a cylinder is 47x3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
2x
4x
2x2
4x2

Answers

Answer:

c

Step-by-step explanation:

The expression for the radius of the cylinder is r = 2x units

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the value of V is

V = 4πx³ units

where the height of the cylinder is h = x units

So , the Volume of Cylinder = πr²h

On simplifying , we get

4πx³ = πr²h

Substituting for h , we get

4πx³ = πr² ( x )

Divide by πx on both sides , we get

r² = 4x²

Taking square roots on both sides , we get

r = 2x units

Therefore , the value of r is 2x units

Hence , the radius of the cylinder is 2x units

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ7

What is the standard form of this expression?

(4y − 9)(2y − 3)

Answers

The answer is 8y^2-30y+27

Maddie buys stock that is worth $22 per share.On the first day,the value of the stock goes up 20%. On the second day,the value decreases by 10%. What is the value of each share at the end of the second day?

Answers

Answer:

At the end of the second day, the value of the share is $23.76

Step-by-step explanation:

Maddie bought $22 worth of share

20% increase of $22 share in the first day

= 20/100 × 22

= $4.40

The total value at the end of the $22 + $4.40

= $26.40

On the second day, 10% decrease of $26.40 is

= 10/100 × $26.4

= $2.64

At the end of the second date, the value of the share is $26.40 - $2.64

= $23.76

A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown.

What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red?

Answers

Answer:

[tex]\frac{5}{143}[/tex] chance

Step-by-step explanation:

Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]

Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]

Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]

[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]

1 A pattern of numbers is shown below. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 x 20 x 6 1 Write down the value of x. [1]

Answers

Answer:

x=15

Step-by-step explanation:

The pattern of numbers can be re-written in the form below:

[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]

The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.

Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.

1+5=65+10=x10+10=2010+5=x5+1=6

We can then see that:

5+10=x; and

10+5=x

10+5=5+10=15

Therefore:

x=15

Answer:

hehe

Step-by-step explanation:

helppp pt.5 plzzzzz​

Answers

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

ella bought 2.7 yards of fabric for $3 per yard how much did she spend

Answers

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

Can you help me and show work 2
Thank you

Answers

Answer:

sure it's 3 2/3

Step-by-step explanation:

the yards are 50 inches so it is going to be


PLEASE HELP !

Solve the system of equations and round answer to the nearest tenth :

y = 2.3 • x + 160.7

y = 3.58 • x + 202.6

Answers

Answer:

work is shown and pictured

Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?

Answers

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Find the perimeter use 3.14

Answers

Answer:

21.7 ft

Step-by-step explanation:

You first find the circumference of the entire circle (diameter of 5). The formula is pi times diameter. You should get 15.7 ft. Then you just add 6 because of the line on the top. Your answer should be 21.7 ft. Hope this helped!

A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch.


show work please thanks! 20 poinsssssss!!

Answers

Answer: The probability is 0.036

Step-by-step explanation:

We have a total of 10 sports drinks.

4 lemon-lime

3 orange

3 fruit-punch.

in the first draw, we pick a lemon-lime drink.

The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.

Then we return it and we mix the drinks.

In the second time, we draw a fruit-punch one, so now the probability is:

p2 = 3/10

We return the drink.

For the third time we again pick a fruit-punch.

Again, we have p3 = 3/10.

Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:

P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036

Answer:

(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥

Step-by-step explanation:

Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.

Answers

The height is 9cm
Hope this was helpful :)

Fill in the blank:

_?__(x+3)=7x+21

Answers

Answer:

The fill-in-the-blank is 7.

Step-by-step explanation:

By factoring out the greatest common factor, 7, you will get 7(x + 3).

7(x + 3) = 7x + 21

Answer:

7

Step-by-step explanation:

which expression can be used find the surface area the following triangular prism // 10, 8, 6, 20

Answers

Answer:

Step-by-step explanation:

45

Answer:

24+24+120+160+200

Step-by-step explanation:

I did it and i got it correct !!!!

Suppose the hypotenuse of a right triangle is 8 cm and one of the legs is 5 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest whole number.

Answers

Answer:

Base, B is 6cm.

Step-by-step explanation:

Pythagoras theorem states that, in a right-angled triangle (ABC) , the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).

Mathematically, it is given by the equation;

Adjacent² + Base² = Hypotenuse²

A² + B² = C²

Given from the question, C = 8cm, A = 5cm and B = x (unknown)

Substituting the parameters into the equation we have;

5² + x² = 8²

25 + x² = 64

x² = 64 - 25

x² = 39

Taking the square root of both sides, we have;

x = 6.25cm

To the nearest whole number x equals 6cm.

Hence, B = 6cm

Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3?

Answers

Answer:

A linear graph with points (6/7, -3/7)

Step-by-step explanation:

Look at the two equations.

We find the value of X and Y because the graph must satisfy these points. See attachment for explanations.

Answer:

A

Step-by-step explanation:

3r-30=6+7r
solve for r

Answers

Answer:

r = -9

Step-by-step explanation:

First we want to ge the rs in the same place:

[tex]3r-7r=6+30[/tex]

[tex]-4r = 36[/tex]

[tex]r=-9[/tex]

Answer:

r= -9

Step-by-step explanation:

[tex]3r-30=6+7r\\Collect like terms\\3r-7r= 6+30\\-4r = 36\\Divide both sides by -4\\r = -9[/tex]

Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Express your answer in simplest radical form.

Answers

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

$725 at 3.25% for 6 months

Answers

what’s the question?

Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. What might Joe's buildings have looked like?

Answers

Answer:

The three buildings can look like following:

1. The building can look like a cube, with each side and height equal to 2.62 cm.

2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Step-by-step explanation:

The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:

1. CUBIC SHAPE:

The building can look like a cube with the length of each side and height given as:

Volume of Cube = 18 cm³ = L³

L = ∛18 cm³ = 2.62 cm

Thus, the building can look like a cube, with each side and height equal to 2.62 cm.

2. CUBOID SHAPE:

The building can also look like cuboid with the following dimensions.

Length = 3 cm

Breadth = 1 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³

Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. PYRAMID SHAPE:

The building can also look like pyramid with the following dimensions.

Length = 3 cm

Breadth = 3 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Pyramid = (Length * Breadth * Height)/3

Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³

Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Anyone please answer me ,
Please solve this question

Answers

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

Answer:

[tex]15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51[/tex](according to BODMAS)

Step-by-step explanation:

First divide 45 by three

[tex]45 \div 3 = 15[/tex]

then subtract 15 from 23 and divide that answer by 2

[tex]23 - 15 = 8 \\ 8 \div 2 = 4[/tex]

Now subtract 4 from 10 and then divide that answer by 2

[tex]10 - 4 = 6 \\ 6 \div 2 = 3[/tex]

Now add 3+4+4*11 you will get the answer for ?

[tex]3 + 4 + 4 \times 11[/tex]

3 + 4 + 44

7 + 44

= 51

hope this helps

brainliest appreciated

good luck! have a nice day!

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