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loris [4]
3 years ago
7

Prove 3 root 7 is a rational number

Mathematics
1 answer:
Setler [38]3 years ago
8 0
3 sq rt of 7 is a terminating decimal meaning it ends t therefore it's a rational number
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PLEASE HELP
miss Akunina [59]

In the smallest of the three triangles (with sides a,b,3) we have

a^2+3^2=b^2

In the second-largest triangle (with sides a,108), the length of the missing side is \sqrt{a^2+108^2}. Then in the largest triangle (with sides b,111,\sqrt{a^2+108^2}), we have

b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2

\implies b^2+a^2+108^2=111^2

\implies b^2+a^2=657

Equivalently, we have

(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18

In turn, we find

b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}

6 0
3 years ago
Name four values of b which make the expression factorable:<br> x^2 - 3x + b
d1i1m1o1n [39]
Four values that make the expression factorable will be, 2, -4, -18 and -28.
4 0
3 years ago
Read 2 more answers
What is cosA for this triangle?<br><br> 48/55<br><br> 55/73<br><br> 55/48<br><br> 48/73
mash [69]

For this case we must indicate the cosine of A, of the figure shown. By definition:

Cosine (A) = \frac {Cateto\ adjacent\ to\ the \ angle} {hypotenuse}

Substituting the values we have:

Cosine (A) = \frac {48} {73}

So, we have to:

Cosine (A) = \frac {48} {73}

Answer:

Option D

4 0
3 years ago
Read 2 more answers
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
wlad13 [49]

The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units

<h3>What is a Coordinate Plane?</h3>

This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.

Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.

We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.

Read more about coordinate planes here:

brainly.com/question/7038052

#SPJ1

5 0
2 years ago
What is 1.75rounded to the nearest cent mathematics
Stels [109]
The answer is the same as the question. 1.75
8 0
3 years ago
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