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3 years ago

What are the solutions of 12 - x2 = 0?

Mathematics

2 answers:

andrew-mc [135]3 years ago

6 0

Answer:

x = -2sqrt(3), 2sqrt(3)

Step-by-step explanation:

12 - x² = 0

x² = 12

x = +/- sqrt(12)

x = +/- 2sqrt(3)

sqrt: square root

tester [92]3 years ago

3 0

Answer:

±2 sqrt(3) =x

Step-by-step explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

±sqrt(12) = sqrt(x^2)

±sqrt(4*3) = sqrt(x^2)

±sqrt(4) sqrt(3) = x

±2 sqrt(3) =x

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Convert. Round to the nearest hundredth if necessary.

denpristay [2]

Answer:

Step-by-step explanation:

1 gallon = 3.78litres

hence if the acid is $33.19/gal

3.78 litres will be sold for $33.19

while

1 litre will be sold for $33.19/3.78

1 litre will be sold for $8.78

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3 years ago

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

astraxan [27]

ANSWER

The value of the expression is
$- 1$

EXPLANATION

Method 1: Rewrite as product of
${i}^{2}$

The expression given to us is,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4}$

We use the fact that
${i}^{2} = - 1$
to simplify the above expression.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{1} \times {i}^{3} \times {i}^{2} \times {i}^{4}$

This implies,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2}$

We substitute to obtain,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times - 1 \times - 1 \times - 1\times - 1 \times - 1$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times 1 \times 1 \times - 1 = - 1$

Method 2: Use indices to solve.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0 + 1 + 2 + 3 + 4}$

This implies that,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{10}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( {{i}^{2}} )^{5}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( - 1 )^{5} = - 1$

8 0

3 years ago

Read 2 more answers

4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the

givi [52]

Answer:

N$12 576. 11

Step-by-step explanation:

Loss%=10%

S.P= N$11 480.50

C.P =?

Loss%=100(C.P - S.P)/C.P

10=100(C.P-11 480.50)/C.P

10C.P=100C.P - 1 148 050

1 148 050=100C.P - 10C.P

1 148 050=90C.P

C.P=N$12 576.11

6 0

3 years ago

Solve each word problem using a system of equations. Use substitution or elimination.

nasty-shy [4]

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

------------------

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

4 0

3 years ago

What is the gcf of 12 and 36

timofeeve [1]

The gcf would be 12 because both 12 and 36 can be divided by 12 and it is the highest number

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3 years ago