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Zarrin [17]
3 years ago
12

If a+b+c=7 and ab+bc+ca=20 find the value of a^2+b^2+c^2

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Using the identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Subtract 2(ab + bc + ca) from both sides, then

a² + b² + c² = (a + b + c)² - 2(ab + bc + ca) = 7² - 2(20) = 49 - 40 = 9

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stephen and bridget win some money and share it in the ratio 5:2. stephen gets £65. how much does bridget get
katen-ka-za [31]

Answer:

Bridget will get the amount as £26.

Step-by-step explanation:

Given:

Amount Stephen gets = £65

Amount shared in ratio = 5:2

We need to find the amount Bridget gets.

Solution:

Let the common factor in the ratio be 'x'.

Amount Stephen gets = 5x

Amount Bridget gets = 2x

But we know that;

Amount Stephen gets = £65

so we can say that;

5x=65

Now dividing both side by 5 we get;

\frac{5x}{5}=\frac{65}{5}\\\\x=13

So now we get;

Amount Bridget gets = 2x=2\times 13 = \£26

Hence Bridget will get the amount as £26.

3 0
3 years ago
2. Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes
jasenka [17]

Answer:

Natural numbers (integers greater than zero)

X = 3,  5,  4,  4,  3

Step-by-step explanation:

The least number of cars that can be observed in this experiment is 1, if the first car turns left. On the other hand, the experiment could go on forever if no car ever turns left, thus the highest number of cars approaches infinite.

The possible values of X are integers greater than zero, which are known as the Natural numbers.

If X = number of cars observed, simply count the number of letters in each outcome for the value of X:

Outcome = RRL, AARRL, AARL, RRAL, ARL

            X = 3,  5,  4,  4,  3

7 0
3 years ago
8.<br> (19x - 18)<br> (10x -9<br> (7x+1)
harkovskaia [24]

Answer:

162

Step-by-step explanation:

assuming you forgot the parentheses at the end of '9'. Do you want an explanation?

4 0
3 years ago
An average of 20 apples were sold from Monday to Friday. After the sales on Saturday and Sunday, the average apples sold per day
avanturin [10]
131 apples were sold on Saturday and Sunday.

Work:
Monday - Friday : 5 days
20 x 5 = 100 apples

Monday - Sunday: 7 days
33 x 7 = 231 apples

231 - 100 = 131
6 0
3 years ago
Please somebody I need help
Goshia [24]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
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