a.a + b.b = 612
And
a+b = 30

so a.b?
Pls help.

Answers

Answer 1

Answer:

ab = 144

Step-by-step explanation:

Assuming you mean a² + b² = 612, then

(a + b)² = a² + 2ab + b² , that is

30² = a² + 2ab + b²  , so

a² + 2ab + b² = 900

a² + b² + 2ab = 900 ← substitute a² + b² = 612

612 + 2ab = 900 ( subtract 612 from both sides )

2ab = 288 ( divide both sides by 2 )

ab = 144


Related Questions

Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol

Answers

8(x - 3) = 16

Distributive property says that,

a(b - c) = (a * b) - (a * c)

Using distributive property, you should multiply both the numbers or variables in the bracket.

Which is,

(8 * x) - (8 * 3) = 16

8x - 24 = 16

8x = 16 + 24

8x = 40

Taking 8 from 8x to the LHS from the RHS.

x = 40/8

hence, x = 5

Hope this helps. If you have any questions plz let me know.

a factory makes a profit of RS.1000000 per month. At the end of the year, it distributes 10% of it's profit as a bonus among it's 50 share holders with equal number of shares. Find the bonus received by each share.​

Answers

Step-by-step explanation:

the bonus received by each share is 24,000

One hundred sixteen divided by four plus twenty eight minus thirty three?

Answers

Step-by-step explanation:

116/4+28-33

29+28-33

57-33

24

In 6 days, a group of workers can plant 30 acres.
What is their rate in acres per day?

Answers

Answer:

5 acres per day

Step-by-step explanation:

Since it is 30 for 6 days, divide 30 by 6 to get how many per day

help me pleaseeeeeee

Answers

it’s b

it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj

9) A rectangular bookshelf has a length of
of 8 1/3in and width of 4 3/8 in. Calcutate its
area

Answers

Answer:225/8 in square

Step-by-step explanation:

No

I need help with my homework

Answers

Answer:

A.9

B.6

C.7

D.1

E.5

F.4

G.2

H.3

I.8

PLEASE MARK ME BRAINLIEST

f(x) = –2x2 – 2x + 10
Find f(2)

Answers

the answer is...............

x= 5/3

Answer:

f(2) = 2

Step-by-step explanation:

given:

[tex]f(x) = -2×2-2x+10[/tex]

find:

[tex]f(2) [/tex]

~~~~~~~~~~~~

➡️ [tex] f(2) = -2×2-2(2)+10[/tex]

➡️ [tex] f(2) = -2×2 = -4[/tex]

➡️ [tex] f(2) = -4-2×2+10[/tex]

➡️ [tex] f(2) = -4-4+10 [/tex]

➡️ [tex] f(2) = -8 +10 [/tex]

➡️ [tex] f(2) = 2 [/tex]

Work out the AREA OF A REGULAR DECAGON which is inscribed in a circle that has radius of xcm. Give your ans in terms of x

Answers

if using radians just substitute 360° for 2pi

I need help with 16-25

Answers

41 calculate 16 present of 25 to calculate 16 percent of 25 you multiple 16 by 25 and then divide the product u get by 100

If p is true and q is false, the p->q is ____
true.
never
always
sometimes

Answers

Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.


Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'?

Answers

Answer:

170 degrees

Step-by-step explanation:

110+ 60= 170

x angle = 170 degrees

what's the area of 89 and 76

Answers

1.)Gcf of 89 and 76

[tex]gcf(89and76)[/tex]

2)step 2

[tex] = \frac{89 \times 76}{lcm(89and76)} [/tex]

3.)step 3

[tex] = \frac{6767}{6767} = 1[/tex]

4.)answer

[tex]1[/tex]


What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP

Answers

Answer:

I think that some information is missing? what is the slope?

If you are trying to say that there is NO SLOPE then the

answer is " x = 4 "

Step-by-step explanation:

Evaluate the expression below for s=2 and t=7

3st²-s²

Please help!! Whoever answers first/correctly ill mark brainliest!!!!

Answers

first replace the letters with the numbers it gave so you have 3(2)(7)^2-(2)^2

multiply the 3 and 2 together to make 6(7)^2-(2)^2

do seven to the second power (7x7) so you get 6(49)-(2)^2

-(2)^2 is the same as -1(2)^2, so that can just become -2^2. so you now have 6(49)-2^2

multiply 6x49 so you have 294-2^2

do two to the second power (2x2) so you get 294-4

294-4=290

What is mZBAC?
60°
(not drawn to scale)

Answers

Answer:

<BAC=60°

Step-by-step explanation:

THIS IS THE ANSWER

helpppppppppppppppppppppppppppPPPPPPPP

Answers

Answer:

All right

6. 7

7. -40

8. -1/6

9.  1

10. 3/5

11. -7

If you have any questions don't hesitate to ask

Answer:

Solve the following equations, and explain its each step.

6. 6x +3= 5x + 10

Solution given:

6x +3= 5x + 10

Subtracting both side by 5x

6x-5x+3=5x-5x+10

x+3=10

subtracting both side by 3

x+3-3=10-3

x=7

7. 6+ 0.10x = 0.15x+8

Subtracting both side by 0.15x

6+0.10x-0.10x=0.15x-0.10x+8

6=0.05x+8

subtracting both side by 8

6-8=0.05x+8-8

-2=0.05x

dividing both side by 0.05

-2/0.05=x

x=-40

8. 5-4x=6+2x

adding 4 on both side

5-4x-4x=6+2x+4x

5=6+6x

subtracting both side by 6

5-6=6-6+6x

-1=6x

dividing both side by 6

-1/6=6x/6

x=-1/6

9. 9-2x=7x

Solution given

adding 2x on both side

9-2x+2x=7x+2x

9=9x

dividing both side by 9

9/9=9x/9

x=1

10. 2(x-4) + 2x = -6x-2

open bracket

2x-8+2x=-6x-2

solve like terms

4x-8=-6x-2

adding 6 on both side

4x+6x-8=-6x+6x-2

10x-8=-2

adding 8 on both side

10x-8+8=-2+8

10x=6

dividing both side by 10

10x/10=6/10

x=3/5

11. ½x-3=3/2 x+4

Subtracting both side by ½x

½x-½x-3=³/2 x-½ x +4

solve like terms

-3=x+4

Subtracting both side by 4

-3-4=x+4-4

x=-7

an 8 yard of roll of strung costs 3.12 what is the unit price

Answers

Answer:

2.56

Step-by-step explanation:

unit price = 8/3.12

                = 2.56

FOR MATH EXPERTS !!

giving brainly!

Answers

Answer:

-8

Step-by-step explanation:

-5+2-3-2

Combine

-3 -3-2

-6-2

-8

Answer:

-8

Step-by-step explanation:

-5+2 = -3

-3-3= -6

-6 -2 = -8

The pie chart shows 60 pupils travel to school

Answers

Answer:

bus = 90/360 x 60 = 15

walk = 120/360 x 60 = 20

not sure about bike and car

Answer:

Bike=5

Walk=20

Step-by-step explanation:

An astronaut weighs 685 N on earth. What would the astronaut's weight (in FORCE) be on Jupiter where gravity= 25.9 m/s2? (*Tip: Solve for the astronaut’s MASS in the Earth, and then procced with his weight, in Newton in Planet Jupiter.) Use G-R-E-S-A, Given. Required, Equation, Solution, Answer

Answers

Answer:

Step-by-step explanation:

I'm sure by now you have learned the difference between mass and weight. Mass will never change regardless of where something is while weight changes depending upon the pull of gravity. If we want the mass, then we have to take the weight on Earth and divide by its pull of gravity. The equation for that will be

W = mg where W is the weight in Newtons, m is mass and g is gravity.

685 = m(9.8) so

m = 7.0 × 10¹ kg

Now that we know that mass, and also because we know that the mass is constant no matter where the astronaut is, we can find his weight on Jupiter.

W = (7.0 × 10¹)(25.9) so

W = 1800 N

3. When six is added to six times a number the result obtained is the same as when the number is added to 10 and
the result multiplied by 3. Form an equation and solve it to find the unknown number.

Answers

Answer:

Equation x(6+6)=3(10+x)

x=3.33

Step-by-step explanation:

Form an equation:

x(6+6) The result of 6+6 is multiplied by x, so you would put 6+6 in a bracket (you do what's inside the bracket first in BODMAS) and the x on the outside so you times the result by x.

3(10+x) The number x is added to 10 and the result is multiplied by 3, so the 10+x would go in a bracket with 3 on the outside.

These equal each other, so you would put an equals sign between it to make:

x(6+6)=3(10+x)

Solve to find x:

12x=30+3x You expand the brackets to make this.

9x=30 You would move 3x to the other side by doing the inverse and taking away 3x from 12x.

x=3.33 To get x you would have to do 30 divided by 9 which is 3.33.

Hope this helps :)

The number asked is 8

What is an equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, When six is added to six times a number, the result obtained is the same as when the number is added to 10 and the result multiplied by 3.

Let the number be x,

Establishing, the equation,

6x+6 = 3(x+10)

6(x+1) = 3(x+10)

6/3(x+1) = x+10

2(x+1) = x+10

2x+2 = x+10

x = 8

Hence, the required number is 8.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32

Answers

All of possible ratios of boys to girls that could be made is 8:16; 4:8; 2:4; 1:2
Hope it helps, Brainliest if it <3

9/x + 2 = 20

WAHT IN THE WORLD? HOWWWW?!

Answers

Answer:

1/2 =x

Step-by-step explanation:

9/x + 2 = 20

Subtract 2 from each side

9/x + 2-2 = 20-2

9/x =18

Multiply each side by x

9/x *x = 18*x

9 = 18x

Divide each side by 18

9/18 = 18x/18

1/2 =x

Solve for 4 - (x + 2) < -3 ( x + 4 )
( 9th grade Algebra 1)

Answers

Answer:A. x < -7Hope this helps!! <3(i took this class, i know its correct) :)

Lisa bought a bracelet for $20.50, a scarf for $8.75, and socks for $6.25. How much money did she spend?

Answers

20.50+8.75+6.25= 35.5$

Answer:

Lisa spent $35.50

Step-by-step explanation:

$20.50 + $8.75 + $6.25 = 35.5

In terms of money, it is $35.50


b. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Two times the value of the first number. What are the three numbers?

Answers

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

The sum of two integers with different signs is 8. Give two possible integers that fit this discretion

Answers

Answer:

Step-by-step explanation:

16 - 8 which will give 8. The 16 is plus, the 8 is minus. They do have different signs.

15 - 7 which gives 8. Same explanation.

108 - 100 = 8 Same method.

If y is directly proportional to x and y = 20 when
x = 5,
(i) find an equation connecting x and y,

Answers

Answer:

Step-by-step explanation:

y = kx

y = 20

x = 4

20 = k*4           Divide by 4

20/4 = k

k = 5

The equation is y = 5x

Simplify (a5b2c5)(ac2). A. a4c10 B. a6b2c10 C. a6b2c7 D. a5b2c7

Answers

Answer:

Answer is C.

Step-by-step explanation:

[tex] ( {a}^{5} {b}^{2} {c}^{5} )( {ac}^{2} ) [/tex]

form brackets of common terms:

[tex] = ( {a}^{5} .a)( {b}^{2} )( {c}^{5} . {c}^{2} )[/tex]

from law of indices:

[tex]{ \boxed{ \bf{ {x}^{n} \times {x}^{m} = {x}^{(n + m)} }}}[/tex]

therefore:

[tex] = \{ {a}^{(5 + 1)} \} \{ {b}^{2} \} \{ {c}^{(5 + 2)} \} \\ = {a}^{6} {b}^{2} {c}^{7} [/tex]

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