Mathematics High School

If a²+b²=8ab, determine (a+b) in terms of a and b​

Answers

Answer 1

[The question's not wholly right! Since, (a+b) has a and b in it, it already is in terms of a and b. Here, we'll be representing (a+b) in terms of ab]

Answer:

[tex]\mathsf{\sqrt{10ab} }[/tex]

Step-by-step explanation:

We have the rules of indices, one of which is:

[tex]\boxed{\large{\mathfrak{(a+b)^2=a^2+b^2+2ab}}}[/tex]

Indices are the powers, the numbers written as superscript in front of a variable or the numbers that come along with "^". It shows how many times a number is to be multiplied by itself.

In the question, we're provided with one equation, i. e.,

a² + b² = 8ab . . . . . . . . (¡)

And, were asked to find out the value of (a+b) in terms of ab.

The above rule has variables that fit in the question efficiently!

So, instead of solving for (a+b), we'll be solving for (a+b)²,  then go for (a + b):

=> (a + b)² = (a² + b²) + 2ab

from eqn. (¡):

=> (a + b)² = 8ab + 2ab

=> (a + b)² = 10ab

taking under root on both the sides:

=> (a + b) = [tex]\mathsf{\sqrt{10ab} }[/tex]

That's the answer,  [tex]\mathsf{\sqrt{10ab} }[/tex]!

                                           

[tex]\overline{\mathfrak{Hope \:this \:makes\: sense!}}[/tex]

Related Questions

Please no links will mark brainiest for compleat answer.
question is in pic below

Answers

Answer:

[tex]16x^{10}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]

[tex]s=4x^{5}[/tex]

[tex]s^{2} =(4x^{5} )^{2}[/tex]

[tex]s^{2} =16x^{10}[/tex]

Can somebody help me please

Answers

Answer:

sdfgsdhvdert

fghjkkl

fghj

fghjk

gfgjuii

n/32 = 1/16

a. n=1/2. b. n=4
c. n=2. d. n=512

Answers

the answer is c. n=2

solve the following equasion: 17 + 2.6b = 30

Answers

Answer:

Step-by-step explanation:

=30-20

Answer:

b = 5

Step-by-step explanation:

2.6 b= 30 - 17

2.6 b = 13

b = 13 ÷ 2.6

b = 5

0


help!!


which are the answers??

Answers

B, D, E.

Step-by-step explanation:

Answer:

to me this is extremely simple a stitscal Quinton is a question that needs math or science or has a logical answer not one that has assumptions

Step-by-step explanation:

the answer is A) D) F) G) GOOD LUCK

10L is repacked into 6DL bottles. how many bottles are filled ??

Answers

Answer:

16

Step-by-step explanation:

1L=10DL

10L=100DL

100DL÷6DL=16.67

15. Find the values of y and y.
(18y+5)°(10r - 61)°(x + 10)°

Answers

This is the answer plz tell me if its wrong

Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers?

Answers

Answer:

No

Step-by-step explanation:

1/4=2/8 2 3/8 divided by 2/8= 9 1/8 hamburgers

1. Tính:
a) 2x*(2x^2-3x+5)+6x^2
b) (2+x)*(2-x)-4
c) (x+5)^2-10x
2. Tìm x, biết:
a) 3*(x^2-2x+1)=3x^2+3
b) (3-x)^2-(x-1)*(2+x)=0

Answers

Answer:

1.b (2+x)*(2-x)-4

2.a 3*(x^2-2x+1)=3x^2+3

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros off Degree 3; zeros: -1, 4-i OTS​

Answers

Answer: 8+i

Step-by-step explanation:

i always come in a pair, so if you have an -i you will have a +i

Please help me with this math problem! :) I will give brainliest!

Answers

AC=5cm

AB=6cm

BC=6cm

A=AC

Subtraction of integers -110 - (-80) =​

Answers

Answer:

-20is the answer

have a great day

Answer:

-30

Step-by-step explanation:

Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.

(-7,5); m = 6

Answers

the answer is : y - 5 = 6 ( x + 7)

A.) How many seats are in the 20th row

B.) Which row contains 36 seats

Answers

A is 60 and B is 108 because it adds 3 to each row and if it’s the 20th row you do 3x20 and if it’s the 36th row you do 3x36

Write an equation of the line passing through the point (7, 3) that is parallel to the line 4x - 7y=9

Answers

Answer:

y = 4/7x - 1

Step-by-step explanation:

7y = 4x - 9

y = 4/7x - 9/7

3 = 4/7(7) + b

3 = 4 + b

b = -1

Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?

Answers

Answer:

1000

Step-by-step explanation:

Answer: 1000

Step-by-step explanation:

If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates

Answers

Answer: hey sis

Step-by-step explanation:

What is the area of the trapezoid?​

Answers

Answer:

128

Step-by-step explanation:

1/2 x (10+22) x 8 =128

It will be 128 since u multiply all of them together

Solve for x.

x−1.2=3

Answers

Hello!

Answer:

x=4.2

Step-by-step explanation:

first, you want to add 1.2 to both sides

x-1.2+1.2=3+1.2

=x=4.2

= x=4.2 :)

Hope this helps!

Please i really need help fast
Determine whether the systems of natural numbers, integers, rational numbers, irrational numbers, and real numbers are closed or not closed for addition, subtraction, multiplication, and division. Type your response here:​

Answers

Step-by-step explanation:

PLSSS HELP ME WITH THIS QUESTION!!!!

Answers

Answer:

?

Step-by-step explanation:

I don’t see the question

what is the answer I need some help

Answers

Answer:

relations 1 and 2 only

I hope it's the right answer

Give the digits in the hundreds place and the tens place.
2,563

Answers

The digit in the hundreds place would be 5.

The digit in the tens place would be 6.

Good luck.

Answer:

hundreds: 5

tens: 6

Step-by-step explanation:

A marathon runner ran the first 5 miles in 32.5 min. If she
continues running at this pace, how long will it take her to run
The entire marathon of 26.2
miles?

Answers

Answer:

It will take her 170.3 minutes to run the entire marathon

Step-by-step explanation:

Use dimensional analysis, the miles will cancel out.

[tex]\frac{26.2 mi}{1}[/tex] ×  [tex]\frac{32.5 min}{5 mi}[/tex] =  [tex]\frac{26.2(32.5)}{5}[/tex]min = 170.3 min

I’m having trouble with this, at first I got x=6 but it isn’t right, can anyone help?

Answers

Answer:

x=12

Step-by-step explanation:

they are equal to each other, so you set 10x-48 equal to 6x and solve.

Which number line shows the solution to 6+ -6

Answers

Answer:

Is there any pictures to go with the question?

Step-by-step explanation:

Jennifer can type 75 words in 3 minutes. Determine how many words she can type in 4 minutes

Answers

Answer:

75/3=25

25*4= 100 words

On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders
3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)

Answers

Answer:

$78.84

Step-by-step explanation:

$26.28 multiplied by 3 is $78.84

9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.

Answers

Answer:

55.2

Step-by-step explanation:

First Multiply

9.2*6

Answer:52

Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.

I need help with this questions

Answers

Answer:

Step-by-step explanation:

Well when u think about it u can just make a bunch of things by mixing them around I made about 13

red,yellow,orange

Yellow,orange red

orange,red,yellow

yellow,red,orange

orange,red yellow

red,orange yellow

A'b

b,a

2,1

1,2

a,a

b,b

2,2

Step-by-step explanation:

you already have 13 inside your question have u tried to use those?

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