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7nadin3 [17]
3 years ago
15

Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A

and point B. What did Carlos graph?
Mathematics
1 answer:
Maru [420]3 years ago
7 0

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

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Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

6 0
2 years ago
A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without repla
liberstina [14]
P(r/w) is the probability of picking a red rose at first picking and a white rose at second picking.
P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.

P(r/w) = \frac{11}{19}×\frac{8}{18} = \frac{88}{342}
P(w/r) = \frac{8}{19}×\frac{11}{18}=\frac{88}{342}

Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.

P(r/w) equals to P(w/r)
3 0
3 years ago
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mixas84 [53]

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches



Step-by-step explanation:


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Since 3x + 2 is on a. Straight line, is is equal to 180 degrees.
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