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Kipish [7]
2 years ago
13

Given a+b+c=7 and a^2+b^2+c^2=25 Find (a+b) ^2+(a+c) ^2+(b+c) ^2

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

Answer:

26.

Step-by-step explanation:

(a + b)^2 + (a+ c)^2 + (b + c)^2 =   a^2 + b^2 - 2 ab + a^2 + c^2 - 2ac + b^2 + c^2 - 2bc

= 2( a^2 + b^2  + c^2 ) - 2( ab + ac + bc)

=<em>  </em><em>5</em>0 - 2(ab + ac + bc).............. (1).

(a + b + c)^2 = a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2

= a^2 + b^2 + c^2 + 2(ab + ac + bc)

= 25 + 2(ab + ac + bc)

But (a + b + c)^2 = 7^2 = 49. So:-

49 = 25 + 2(ab + ac + bc)

2(ab + ac + bc) = 49 - 25 = 24.

Substituting for this  in (1) above:

(a + b)^2 + (a + c)^2 + (b + c)^2 =  50 - 24 = 26 (answer).

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Graphing Trigonometric Functions
Alina [70]

Answer:

hard, search on internet as I don't know this

8 0
3 years ago
You damage your car and it will cost $2,700 to repair. You have a $500 deductible. How much will the insurance company pay? A.$5
artcher [175]

Answer:

After finding the money we were short with, we find that Option-b, that is, $2200 is the correct option.

Step-by-step explanation:

Given that the cost to repair the damaged car is $2700. We have $500.

Insurance company is a company that gives the payment of someone's valuable items when they are lost or get damaged. For example, home insurance, car insurance, life insurance and much more.

Here we can see that we are short with $2700 - $500 = $2200.

So, to complete the payment, insurance company will pay $2200.

Clearly, the correct option is Option-b.

For more explanation, refer the following link:

brainly.com/question/33585

#SPJ10

7 0
2 years ago
It costs miksel $4 to make a bike bag, if he sells each gor $5. He has made a profit of $16 dollars so far
mixas84 [53]

Answer:

16

Step-by-step explanation:

5-4 = 1 so total profit would be $1 for each bag.

Because he makes 1 dollar per bag this is a fairly simple to see how many he has but we will pretend its not so you have an idea of how to do this later.

You should divide the final profit he's made by the total he gets per each, which would give you how many he has made.

$16/$1 = 16 bags produced.

4 0
3 years ago
Principal, $3000; Annual interest rate, 5.4%; time, 4 years<br> The Balance after 4 years is?
Neporo4naja [7]

Answer: 777600

Step-by-step explanation:

you times 12 by 4 then you times 3000 by 5.4 and add the two answers

3 0
3 years ago
A rectangular-prism-shaped toy box is 2 cm by 1 cm by 1 cm. a storage bin is packed with 18 of these toy boxes. there is no extr
Virty [35]
The bin's volume is 36cm³
6 0
3 years ago
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