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geniusboy [140]
3 years ago
13

And, S2

Mathematics
1 answer:
dangina [55]3 years ago
4 0

<u>Correct Question</u>

In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?

\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right

Answer:

L=7

Step-by-step explanation:

From the first row: 2J+K=5

Therefore: K=5-2J

From the second column, 2K+J=7

Substitute K derived above into 2K+J=7

2K+J=7

2(5-2J)+J=7

10-4J+J=7

-3J=7-10

-3J=-3

J=1

Recall: K=5-2J

K=5-2(1)=3

K=3

From the third column, J+2L=15

1+2L=15

2L=15-1=14

L=7

Therefore, the value of L=7

CHECK:

\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right

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VashaNatasha [74]

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Solution:

Use algebraic identity: a^m\times a^n=a^{m+n}

For example: x^2\times x=x^{2+1}=x^3

Given expression (x^2-5x+2) and (3x^2+2x+3).

To multiply these equations.

(x^2-5x+2)\times(3x^2+2x+3)

             =x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)

             =(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)

             =3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6

Combine like terms together.

             =3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6

             =3x^4-13x^3-x^2-11x+6

(x^2-5x+2)\times(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6

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3 years ago
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nikitadnepr [17]

Answer:

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Step-by-step explanation:

You get 115 for X because angle x is vertical to 115 degrees.

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aliya0001 [1]

Answer:

Kindly check explanation

Step-by-step explanation:

Kilogram of flour needed to complete holiday order is atleast 175kg

Number of kilograms available = 34kg

Flour comes in bags each contain 23kg of flour

He wants to buy the smallest number of bags as possible and get the amount of flour he needs.

Let F = number of bags of flours Sergei needs to buy

F = (total number of kilograms needed - number of kilograms available) / kilograms per bag

F = (≥ 175 - 34) / 23

F = ≥ 141 / 23 = ≥ 6.1304347

Since flour is purchased per bag, the smallest number of bags he can possibly buy and still get the amount of flour he need = 7 bags

8 0
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Step-by-step explanation:

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(x-2)=-1/4(x-8) <br> please show steps
RSB [31]

Answer:

(

−

2

)

=

−

1

4

(

−

8

)

(x-2)=\frac{-1}{4}(x-8)

(x−2)=4−1​(x−8)

Solve

1

Eliminate redundant parentheses

(

−

2

)

=

−

1

4

(

−

8

)

−

2

=

−

1

4

(

−

8

)

2

Combine multiplied terms into a single fraction

−

2

=

−

1

4

(

−

8

)

−

2

=

−

1

(

−

8

)

4

3

Distribute

−

2

=

−

1

(

−

8

)

4

−

2

=

−

+

8

4

4

Add

2

2

2

to both sides of the equation

−

2

=

−

+

8

4

−

2

+

2

=

−

+

8

4

+

2

5

Simplify

Add the numbers

=

−

+

8

4

+

2

Solution

=

1

6

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Step-by-step explanation:

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