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olga2289 [7]
3 years ago
7

The slope of a line will depend on which of the two points you choose to call (x1,y2) and which you choose to call (x2,y2) when

calculating the slope .
A. True
B. False
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
False

for example

(1,3)(2,1)
1-3/2-1= -2
3-1/1-2= -2
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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
Sound travels about 335 meters/second. How many kilometers would a sound travel in 1 minute?
Lelechka [254]
If sounds travel 335 meters in 1 second , in 1 minute it travels 60 times that distance :

335m × 60 = 20100 meters
Sounds travel 20100 meters per minute
if 1000 meters = 1 km ,
20100 meters = 20100/1000 km
20100 meters = 20.1 Km

Awnser : Sound would travel 20.1 km in one minute
7 0
3 years ago
Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag
FromTheMoon [43]

Answer:

1.72973 oz/serving.  Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag."  But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound.  Make that a conversion factor:  (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings.  So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

5 0
2 years ago
Nathaniel is making muffins. Each batch uses 2 cups of flour. He plans to use less than 40 cups of flour for muffins so that he
MAXImum [283]

The number of batches Nathaniel can make is 16.5 batches.

Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.

Maximum amount of flour Nathaniel can use = 39 - 6 = 33

Number of batches he can make = 33 / 2 = 16.5 batches

To learn more about division, please check: brainly.com/question/194007

8 0
2 years ago
Write an equation for the line in slope-intercept form.​
avanturin [10]

Answer:

y=2

Step-by-step explanation:

8 0
3 years ago
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