Find 4ab when (a+b)=15 and (a-b)=12

Answers

Answer 1
a + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81
Answer 2

Answer:

81

Step-by-step explanation:

here,

(a+b)=15 -------(1)

(a-b)=12 -------(2)

Equating the equation (1) and (2)

a + b = 15

a - b = 12

(b gets cancelled having opposite signs)

or, 2a = 27

or, a = 27÷2

a = 13.5

then, putting value of a in equation (1)

a+b=15

or, 13.5 + b=15

or, b=15-13.5

b=1.5

lastly,

4ab = 4×13.5×1.5

= 81

hope it helps!!


Related Questions

On a map, the distance between two cities is 26 cm. If the map scale is 2 cm: 11 mi., what is the actual distance between the two cities?​

Answers

Answer:

143 miles

Step-by-step explanation:

To get the answer, you should first, divide 25 cm by 2 cm = 13 cm so it will be easier for you to multiply. Then you should multiply  = 13 by 11 = 143 miles

Please help.................................................................................................

Answers

Answer:

Step-by-step explanation:

L = 3*w + 1                      Given

P = 2*(L + w)                   Formula for Perimeter. Substitute for L    

P = 2*(3w + 1 + w)           Combine

P = 2*(4w + 1)                  

P = 58                             Given

58 = 8w + 2                    Remove the brackets

58 - 2 = 8w                     Subtract 2

56 = 8*w                         Divide by 8

56/8 = w

7 = w

================

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

================

Check

2L + 2W  = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

2(5x+1)−2x=2−2(3x+1)

Answers

Answer:

[tex]x = -\frac{1}{7}[/tex]

Step-by-step explanation:

2(5x + 1) - 2x = 2 - 2(3x + 1)

Use the distributive property

10x + 2 - 2x = 2 - 6x -2

Combine like terms

8x + 2 = -6x

Subtract 2 from both sides

8x = -6x - 2

Add 6x to both sides

14x = -2

Divide both sides by 14

x = -2/14 = -1/7

3/8 divided 3 2/3 Please help! :(

Answers

Answer:

Answer is 1/12. Hope that helped

3n + 6 = 18. What is the value of n

Answers

Answer:

n=4

Step-by-step explanation:

idk idk.. help please

Answers

Answer:

c = √58

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Because we have a right triangle, we can use the Pythagorean Theorem to help us solve for missing side lengths:

7² + 3² = c²

49 + 9 = c²

58 = c²

c = √58

Answer: c = √58

Step-by-step explanation:

Can someone please help me!!!

Answers

Answer:

The base angles for 1 are L and J

Vertex angle is H

The legs are the lines on each side of the triangle

Step-by-step explanation:

The children became Americanized much faster than their parents. Often this caused painful conflicts in immigrant families. A gap appeared between the children and their parents. The parents clung to Old World customs and beliefs. The kids spoke English all day with their friends. They thought in American terms. More than anything else, they wanted to be accepted as equals in their adopted land.

Which other detail best supports the idea that children became comfortable in America more quickly than their parents?

When they left school, they looked, talked, and acted just like other American kids.
During hard times, kids had to drop out of school early. In the days before World War I, it was an accomplishment to finish grammar school.
Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . . .
Students were also instructed in the fundamentals of health, hygiene, and personal grooming.

Answers

The right answer is Many kids went directly from grammar school to special vocational schools sponsored by private agencies. . .

I hope it helps :)

Answer:

the answer is C

Step-by-step explanation:

Hope this helped!! :)

Can I get brainliest i need it to level up:)

please helpp What is the converse of the statement below?
If three points lie on the same line, then they are collinear.

answer choices
If three points are not collinear, then they do not lie on the same line.
If three points are collinear, then they lie on the same line.
If three points lie on the same line, then they are collinear.
If three points do not lie on the same line, then they are not collinear.

Answers

Answer:

B, the second option

Step-by-step explanation:

If there points are collinear then they lie on the same line

Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buy 2 stamps each week. when will Mary have more stamps than Nick

Answers

Answer:

She already does have more than Nick!

Step-by-step explanation:

Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)

Answers

the answer should be 4 (4+9)

Where did Emory make an error?

Answers

Answer:

Uhhh... how do I answer this?

Step-by-step explanation:

There is no way for me to SEE where he made an error.

We need to see the whole question

HURRY PLZ IM ON A TIME LIMIT!!!!

Answers

Answer:

23°

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Can you help me with these angles please????

Answers

Answer:

11. ∠9 = 100°

12. ∠6 = 80°

13. ∠8 = 80°

14. ∠2 = 80°

15. ∠5 = 100°

16. ∠11 = 100°

Step-by-step explanation:

Answer:

11. 100°    12. 80°     13. 80°    14. 80°    15. 100°    16. 100°      

Step-by-step explanation:

We know a straight line is 180 degrees and that m∠7 is 100 degrees.

m∠9, m∠5 and m∠11 are 100 degrees

To find m∠6, m∠8, and m∠2 we subtract 100 from 180 and get 80 degrees.

If you fill in all the degrees of the angles, you will notice a zig-zag pattern. That helps when solving these kinds of problems

I hope this helped, please mark Brainliest, thank you!

What is the length of the line?

Answers

Answer:c I think it is

-6.3 ⋅ 5=?
answer plz

Answers

Answer:

Answer

Step-by-step explanation:

-6.3*5= -31.5

Answer:

-31.5

Step-by-step explanation:

multiplication, when there's one negative sign during multiplication just make the answer negative

Please help me, I really dont want to get an F :((( (The Graph Is In The Image)
The graph shows the data for the time it takes Jerome to bike to school, based on his average biking speed for that trip. Which sentence describes the association?

A.The speed he bikes at affects the time it take him to get to school, but it is unclear if the time increases or decreases.
B. As the average speed increases, the time he takes to get to school decreases.
C. The speed he bikes at does not affect the time it takes him to get to school.
D. As the average speed increases, so does the time he takes to get to school.

Answers

Answer:

B: As the average speed increases, the time he takes to get to school decreases.

Step-by-step explanation:

On the graph, it showed that the plotted points are decreasing as the average speed is increasing. Also, I took the test and B was the correct answer.

What is the prime factorization of 36?

22 × 9
2 × 32
22 × 32
3 × 13

Answers

Answer:

2 x 2 x 3 x 3

Step-by-step explanation:

Answer:

a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 36 can be written as a product of primes as: 36 = 2² x 3². The expression 2² x 3² is said to be the prime factorization of 36.

143 dollars is divided in the ratio 2:3:6 calculate the share​

Answers

Answer:

The first share is 26 dollars, the second share is 39 dollars and the last share is 78 dollars.

Step-by-step explanation:

So here is how you do this:

Whole               = 2+3+6

                         = 11

Step 2:

first share           = 2/11 multiplied by 143/1

                           = 143 divided by 11

                           = 13

                            = 13 multiplied by 2

                            = 26

Answer for the first share is 26 dollars

Step 3:

second share         = 3/11 multiplied by 143/1

                               = 143 divided by 11

                               =  13

                               = 13 multiplied by 3

                               = 39

Answer for the second share is 39 dollars

Step 4:

third share               = 6/11 multiplied by 143/1

                                = 143 divided by 11

                                = 13

                                 = 13 multiplied by 6

                               =   78

Answer for third share is 78 dollars

83*98 answer in standard form

Answers

8,134
Multiply 83 by 90. :)

The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation Find the length, in centimeters, if the width is 3.6 centimeters

Answers

Step-by-step explanation:

let the unknown be x

length = x

width = 3.6 cm

Perimeter = 2 lengths + 2 widths

48 cm = x + x + 3.6 + 3.6

48 cm = 2x + 7.2

40.8 = 2x

20.4 cm = x

if you wanna check,

perimeter = 20.4 + 20.4 + 3.6 + 3.6

48 cm = 48

Using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

Recall:

Perimeter of a rectangle (P) = 2(L + W) (relationship between the width, length and perimeter)

Given:

Width (W) = 3.6 cmPerimeter (P) = 48 cmLength (L) = ?

Using the relationship between the dimension of a rectangle and its perimeter, the following equation would be derived:

48 = 2(L + 3.6)

Solve for the value of L

48 = 2L + 7.2

Subtract 7.2 from each side

48 - 7.2 = 2L

40.8 = 2L

Divide both sides by 2

20.4 = L

L = 20.4 cm

Therefore, using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

Learn more here:

https://brainly.com/question/18869010

what is the answer 8/2x4-(3+1)
to this problem

Answers

Answer:

14

Step-by-step explanation:

8/2 × 4 - (3+1)

Using the order of operation, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), we can figure out the answer to this expression.

8/2 × 4 - (2)

4 × 4 - (2)

16 - 2

14

Someone help it’s due in some time???????

Answers

The scale of dilation is the number that you multiply one side of the original triangle to get its corresponding side on the new triangle. In this case, it can be seen that AB corresponds to A'B', and so you divide A'B' by AB (6 divided by 4) to find that the scale factor is 6/4, or 3/2. If you do this with any of the other sides you will get the same answer.

Answer:

If you do this with any of the other sides you will get the same answer.

Step-by-step explanation:

6/4

A'B' by AB

6/4 or 3/2.

Scale factor

Which of the following are mathematical sentences?
Check all that apply.
A. 6
OB. 4 - d = 8
O C. 3 + 2 = 5
D. 1 < 2
O E. 59
O F. 4-V
SUBMIT

Answers

A and D but hold on

boy a and boy b are pushing a heavy table in the west direction at the same time with 10 units of force each.what is the net force acting on the object ?in which direction the table will move?​

Answers

Answer:

20 n

Step-by-step explanation:

as both are exerting force on the same side i.e. to the west side with 10 N each the total net force is 10+10=20N and the table will move to the west side....

Thank you

The net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.

What is gravitational force?

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

As we know, the gravitational force is given by:

[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]

Where G is the gravitational constant.

m1 and m2 are masses.

r is the distance between the masses.

It is given that:

Boy 'a' and boy 'b' are pushing a heavy table in the west direction at the same time with 10 units of force each

The table will shift to the west side since both are applying 10 N of force to the same side, i.e., the west side, for a total net force of 10+10=20 N.

Total net force = 10 + 10 = 20 units

Thus, the net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.

Learn more about the gravitational force here:

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King David was a skilled general and a great ruler, who unified Israel. What type of sentence is this? A. a complex sentence B. a compound sentence C. a simple sentence D. a compound-complex sentence

Answers

Answer:

C. a simple sentence

Step-by-step explanation:

Simple sentences have one subject and one verb or predicate. Some of these have a direct object or a modifier, but they still only have one subject and one verb. If you need to brush up on these parts of speech, read up on Understanding Subjects, Predicates, and Objects.

plz mark brainliest

Answer:

This is C. A simple sentence

Step-by-step explanation:

This sentence does not consist a conjunction and only consist of one independent clause.

please please help me with this question, this is the third time i’ve asked this question and no one has answered :(

Answers

Angle 3 is supplementary to the 95 degree angle, so 180 - 95 = 85.
Angle 3 = 85 degrees

Angle 2 is a vertical angle with Angle 3, so Angle 2 = Angle 3 —> 85=85
Angle 2 = 85 degrees

Angle 1 + 73 degrees is a vertical angle with 95 degrees, so Angle 1 + 73 = 95
Angle 1 = 95 - 73
Angle 1 = 22 degrees

ALSO

Angle 2 + 73 degrees + Angle 1 = 180 degrees
85 + 73 + Angle 1 = 180 degrees
158 + Angle 1 = 180 degrees
Angle 1 = 180-158
Angle 1 = 22 degrees

Express this product in Scientific notation:
(11 X 10^11) (12 X 10^12)

Answers

[tex]11 \times {10}^{11} \times 12 \times {10}^{12} = [/tex]

[tex]132 \times {10}^{11 + 12} = 132 \times {10}^{23} [/tex]

[tex]1.32 \times {10}^{2} \times {10}^{23} =1.32 \times {10}^{25} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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The product in scientific notation is 1.32 × 10²⁵.

What is scientific notation?

Scientific notation is a method for expressing numbers that are too large or too small to be easily written in decimal form (usually resulting in a long string of digits). It is known as standard form, scientific form, or standard index form. Scientists, mathematicians, and engineers all use this base ten notation because it can simplify some arithmetic operations. It is typically referred to as "SCI" display mode on scientific calculators.

Non-zero numbers are written in the form (m x n¹⁰) in scientific notation.

Given (11 x 10¹¹)(12 x 10¹²)

11 x 10¹¹ x 12 x 10¹²

132 x 10¹¹⁺¹² (base same add powers)

132 x 10²³ (132 can be written as 1.32 x 100)

1.32 x 100 x 10²³

1.32 x  10²³⁺²

1.32 x 10²⁵

Therefore the scientific notation is 1.32 x 10²⁵.

Learn more about scientific notation;

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A number t times 6.​

Answers

Answer:

6t

Step-by-step explanation:

t times 6 = t*6, which can be written as 6t (usually numbers go before the variables)

What can be concluded about a line that passes through the points(1, -2) and (4,-2)? Check all that apply A:The slope is 0. B:The y-intercept is -2. C:The line is vertical. D:The line is horizontal. E:The line has no y -intercept. F:The equation of the line is Y= -2​

Answers

Answer:

ABDF

Step-by-step explanation:

The answer is A,B,D,F

A is: The slope is 0.

B is: The y-intercept is -2.

D is: The line is horizontal.

F is : The equation of the line is y= -2.

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