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valkas [14]
3 years ago
15

Which expression is equivalent to -1/4 x + 1/2?

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0
The expression is given by:

-\frac{1}{4}x+ \frac{1}{2}

So we need to find an equivalent equation for this problem. Then, we will apply some mathematical rules:

Extracting the common factor 1/4, then:

\frac{1}{4}(-x+2})

Or extracting the common factor -1/4, then:

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

So, comparing these solutions with the answers about, there is no any answer that matches.


zavuch27 [327]3 years ago
6 0
The given expression is:

- \frac{1}{4}x+  \frac{1}{2}

1/2 can be written as 2 x 1/4 . So the expression becomes:

- \frac{1}{4}x+ \frac{1}{4}*2

Taking out 1/4 as common we get:

\frac{1}{4}(-x+2)  \\  \\ 
or \\  \\ 
 -\frac{1}{4}(x-2)
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Answer:

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Step-by-step explanation:

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3 years ago
Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq
Setler79 [48]

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

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3 years ago
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it sin 60

Step-by-step explanation:

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Find the absolute value.<br> |18|
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Answer:

18

Step-by-step explanation:

The absolute value means how far it is from 0 and 18 it 18 numbers from 0! For negative numbers its the same |-18| would be 18 as well because it is 18 numbers from 0.

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3 years ago
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