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IceJOKER [234]
3 years ago
12

What is the value of x in the figure below?

Mathematics
2 answers:
balu736 [363]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Ann [662]3 years ago
5 0

Answer:14

Step-by-step explanation:

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ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12.
Naily [24]

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

[(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z

Thus, the final expression is (-11x + y - 12z).

(12)

From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

[(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5

Thus, the final expression is (7x² - y² - x + y + 5).

(13)

What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2

Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

(14)

What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?

A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7

Thus, the expression is (3xy - 7zx + 7yz + 7).

(15)

How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?

A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy

Thus, the expression is (x² - 6y² + 3xy).

7 0
3 years ago
A car traveled 300 miles on 15 gallons of gas. How many miles does the car travel on 1 gallon of gas?​
katrin [286]

Answer:

20 miles for 1 gallon.

Step-by-step explanation:

20 x 15 = 300

4 0
2 years ago
Read 2 more answers
Slove the following:​
Aleksandr [31]

Answer:

let required no be x

\frac{1}{7}  =  \frac{x}{42}

by doing crisscrossed multiplication

42 \times 1 = 7 \times x

42=7x

dividing both side by 7

\frac{42}{7}  = 7x \div 7

6=x

therefore x=6

therefore value of remaining no.is 6

7 0
2 years ago
Read 2 more answers
A bakery bakes 728 trays of cookies in a day. How many trays of cookies can the bakery make in 43 days?
musickatia [10]

Answer:

There will be 31,304 trays of cookies in 43 days.

Step-by-step explanation:

728 = 1 day

728 x 43 = 31,304

5 0
3 years ago
everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a
Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

so

The perimeter of the rectangular playground is equal to

P=2(L+W)

we have

L=320\ m\\W=163\ m

substitute

P=2(320+163)

P=966\ m

3 0
3 years ago
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