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kogti [31]
4 years ago
14

Evaluate the expression x - 7, if x = 12. 19 17 6 5

Mathematics
1 answer:
SpyIntel [72]4 years ago
3 0

Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.


Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.


So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.


So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.


If x = 12, the expression becomes 12-7 and it evaluates to 5.


If x = 19, the expression becomes 19-7 and it evaluates to 12.


If x = 17, the expression becomes 17-7 and it evaluates to 10.


If x = 6, the expression becomes 6-7 and it evaluates to -1.


If x = 5, the expression becomes 5-7 and it evaluates to -2.

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p-4

Step-by-step explanation:

It is like asking to write an expression for the difference of 7 and 4: 7 - 4.

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The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.


So we have


y = 3x + 2


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Swapping and negating gets the perpendiculars; the constant is as yet undetermined.


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Consider circle H below.
hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}, where,

r = Radius of circle,

\theta = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}

78=2\cdot 3.14\cdot  r\cdot \frac{7}{36}

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78= r\cdot \frac{21.98}{18}

r\cdot \frac{21.98}{18}=78

r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}

r=63.8762511373

Upon rounding to nearest hundredth, we will get:

r\approx 63.88

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Step-by-step explanation:

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