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3 years ago

10

Whoever helps me will get a $50 i tunes gift card.

2 answers:

Andru [333]3 years ago

7 0

The second one is (2,1)

serg [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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I’m done with it all but imma keep my promise and give 100 to the person who can solve this one for my challenge question on her

faust18 [17]

Answer:

$\boxed{{a}^{4} + {b}^{4} + {c}^{4} =50}$

Step-by-step explanation:

$a+b+c = 4$

Squaring both the side,

${(\underline{a +b} + c)}^{2} = {4}^{2}$

${(a + b)}^{2} + {c}^{2} + 2(a + b)c \: = 16$

${a}^{2} + 2ab+ {b}^{2} + {c}^{2} + 2ac + 2bc = 16$

${a}^{2} + {b}^{2} + {c}^{2} + 2ab+ 2ac + 2bc = 16$

$10 + 2ab+ 2ac + 2bc = 16$

$2ab+ 2ac + 2bc = 16 - 10 = 6$

$2(ab + bc + ac) = 6$

$\fbox{ab + bc + ac = 3}$

Now we know that,

${a}^{3} + {b}^{3} + {c}^{3} -3abc = ( a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)$

$22 -3abc = ( 4)( 10 - (ab + bc + ca))$

$22 -3abc = ( 4)( 10 - 3)$

$3abc = 22 - 40 + 12$

$abc = \frac{ - 6}{3} = - 2$

Now, we know that

$ab + bc + ac = 3$

Squaring both the side,

${(ab + bc + ac)}^{2} = {3}^{2}$

${(ab)}^{2} + {(ac)}^{2} + {(bc)}^{2} + 2 (abbc + abac + bcac) = 9$

${(ab)}^{2} + {(ac)}^{2} + {(bc)}^{2} + 2 (a + b + c)(abc) = 9$

${(ab)}^{2} + {(ac)}^{2} + {(bc)}^{2} + 2 \times 4 \times ( - 2) = 9$

${(ab)}^{2} + {(ac)}^{2} + {(bc)}^{2} - 16= 9$

${(ab)}^{2} + {(ac)}^{2} + {(bc)}^{2} = 25$

Now we are given that,

${a}^{2} + {b}^{2} + {c}^{2} = 10$

Squaring both the side,

${({a}^{2} + {b}^{2} + {c}^{2})}^{2} = {10}^{2}$

${ {a}^{2} }^{2} + { {b}^{2} }^{2} + { {c}^{2} }^{2} + 2( {a}^{2} {b}^{2} + {b}^{2} {c}^{2} + {a}^{2} {c}^{2} ) = 100$

${a}^{4} + {b}^{4} + {c}^{4} + 2( {a}^{2} {b}^{2} + {b}^{2} {c}^{2} + {a}^{2} {c}^{2} ) = 100$

${a}^{4} + {b}^{4} + {c}^{4} + 2( 25 ) = 100$

${a}^{4} + {b}^{4} + {c}^{4} + 50= 100$

$\boxed{{a}^{4} + {b}^{4} + {c}^{4} =50}$

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3 0

2 years ago

Read 2 more answers

Importance of Index Number

love history [14]

Answer:

Index numbers are intended to measure the degree of economic changes over time. These numbers are values stated as a percentage of a single base figure. Index numbers are important in economic statistics. ... Index numbers are intended to study the change in the effects of such factors which cannot be measured directly.

5 0

4 years ago

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GIVING BRAINLIST. 6 dimes if what percent of a dollar

BigorU [14]

Answer:

60%

Step-by-step explanation:

6 dimes is 10x6 and a dollar would have 10 dimes so 60%

8 0

3 years ago

Least to greatest 0.21=2/9=21%=11/50

wel

This problem doesn't make sense, two of them are equal.

6 0

3 years ago

Read 2 more answers

6x + 39 (if x = 10)..

jekas [21]

Answer:

3(2x+13) or 99

Step-by-step explanation:

Factor 6x+39

6x+39

=3(2x+13)/ 99

Answer:

3(2x+13) or 99

3 0

3 years ago

Read 2 more answers