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2 years ago

Determine if the expressions are equivalent: 7+ 7x; 7 x + 1/7

Mathematics

1 answer:

patriot [66]2 years ago

5 0

The given expressions 7+ 7x ; 7 x + 1/7 are not equivalent or equal

to each other

Step-by-step explanation:

Let us firstly assume that 7 + 7x is equivalent ( to 7(x + 1/7) so that means

7 + 7x = 7(x + 1/7)

7 + 7x = 7x + 7(1/7)

7 + 7x = 7x + 1

7x + 7 = 7x + 1

Now, subtracting 7x from both sides, we get:

7x - 7x + 7 = 7x - 7x + 1

(7 - 7)x + 7 = (7 - 7)x + 1

(0)x + 7 = (0)x + 1 thus their occurs a false statement:

7 = 1 ( we know, 7 >1)

Thus we can say that

7 + 7x is NOT equivalent to 7(x + 1/7)

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The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?

Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

$(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Putting the values, we get,

$(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}$

The distance from P to origin is approximately 40.82 units.

7 0

3 years ago

What is margin of error??

Tems11 [23]

Answer:

The margin of error for a sample size of 250 is 6

Step-by-step explanation:

The margin of error is given as

1/square root of the sample size

Thus, margin of error for a sapless size of 250 is

1/√250

= 1/15. 811

= 6

8 0

3 years ago

Please help me again

Vikentia [17]

Answer:

y = 10

Step-by-step explanation:

Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180

5y + 10 - 10 = 60 - 10

5y / 5 = 50 / 5

y = 10

Answer: y = 10

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3 years ago