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chubhunter [2.5K]
3 years ago
8

K² = 76What is the answer?​

Mathematics
2 answers:
Simora [160]3 years ago
6 0

Answer:

± 8.7178 or ± the square root of 19

Step-by-step explanation:

Solve  :    k2-76 = 0

Add  76  to both sides of the equation :

                     k2 = 76

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     k  =  ± √ 76  

Can  √ 76 be simplified ?

Yes!   The prime factorization of  76   is

  2•2•19

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 76   =  √ 2•2•19   =

               ±  2 • √ 19

The equation has two real solutions  

These solutions are  k = 2 • ± √19 = ± 8.7178  

Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.

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nordsb [41]

Answer:

y = 7

Step-by-step explanation:

3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer

3 0
3 years ago
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A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest
Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

3 0
3 years ago
Which of these numbers is a square number<br> 4x10^5<br> 9x10^4<br> 4x10^3<br> 9x10^3
bazaltina [42]

Answer:

<em> </em><em>here </em><em>9</em><em>*</em><em>1</em><em>0</em><em>^</em><em>4</em><em> </em><em>is </em><em>a </em><em>square </em><em>number </em>

Step-by-step explanation:

<em>9</em><em>*</em><em>1</em><em>0</em><em>^</em><em>4</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em><em>0</em><em>0</em>

<em>and </em><em>it </em><em>is </em><em>a </em><em>square </em><em>of </em><em>3</em><em>0</em><em>0</em><em> </em>

6 0
3 years ago
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The produce department of a grocery store sold 288 pounds of tomatoes. the weight represented 72% of the shipment the store rece
Zanzabum
288÷72=4 4x100=400 so there were 400 pounds of tomatoes origionally
7 0
3 years ago
Which two ratios form a proportion?
s2008m [1.1K]

Answer:

02:3 and 12:18

Step-by-step explanation:

A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:

#1

02:3 and 4:12

Reducing the larger ratio: 4:12=1:3

Hence, not a proportion.

#2

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#4

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Hence, not a proportion.

4 0
3 years ago
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