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4 years ago

Can a radical ever be rational? Glve examples. Justify your answer using complete sentences.

Mathematics

2 answers:

pochemuha4 years ago

4 0

Answer:

Yes

Step-by-step explanation:

Yes, a radical can be a rational, this is because a radical indicates the square root of a number. An example of this is $\sqrt{25}$ = 5.

marishachu [46]4 years ago

3 0

Answer: Yes.

Step-by-step explanation:

A radical is a number of the shape √x, and a rational is a number of the shape a/b, where x, a and b are integer numbers.

Now, particularly, you have 2 = 12/6 for example so 2 is a rational number.

And you also have that 2*2 = 2^2 = 4

so √4 = 2.

Then we have that 2 is a radical and a rational number.

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3 years ago

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3 years ago

Consider the line that passes through each pair of given points, and decide what type of slope the line has.

tatiyna

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

(2, 4) and (5, 1)

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

The slope is negative.

(3,5) and (-1,2)

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

The slope is positive

(-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

division by zero makes the slope undefined.

(6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

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3 years ago

Read 2 more answers

Sarah needs to make 20 same-size tablecloths using 35 yards of fabric. How many inches of fabric will she use per tablecloth?

Illusion [34]

Answer:

63 inches per tablecloth.

Step-by-step explanation:

35 / 20 = 1.75 yards per tablecloth,

= 1.75 * 36

= 63 inches.

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3 years ago

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o-na [289]

Answer:

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Step-by-step explanation:

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3 years ago