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Deffense [45]
2 years ago
7

Prove: The square of a number that is

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Let 3<em>n</em> + 1 denote the "number" in question. The claim is that

(3<em>n</em> + 1)² = 3<em>m</em> + 1

for some integer <em>m</em>.

Now,

(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²

… = 9<em>n</em>² + 6<em>n</em> + 1

… = 3<em>n</em> (3<em>n</em> + 2) + 1

… = 3<em>m</em> + 1

where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).

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#7 HELP ! WILL GIVE BRANLIEST
likoan [24]

Answer:

x = 8, y = 4√3, z = 8√3

Step-by-step explanation:

Assuming that y is the altitude of the triangle (perpendicular to the hypotenuse), the triangles are similar.  So we can write proportions:

x / 4 = 16 / x

x² = 64

x = 8

4 / y = y / 12

y² = 48

y = 4√3

z / 12 = 16 / z

z² = 192

z = 8√3

Note: after finding one side, you can also use Pythagorean theorem to find the other two sides.

3 0
3 years ago
The clock hands are at a 150 angle. Zack has basketball practice in 2 hours. Which could be the angle measure of the hands when
allochka39001 [22]
We know that

360°/12 hour----------> 30°/hour
that means
1 hour ----------> represent 30° in t<span>he clock hands
</span>so
150°+2 hour---------> 150°+2*30°-------> 150°+60°------> 210°

the answer is
the angle measure of the hands of the clock when basketball practice starts could be 210°
3 0
3 years ago
I need help with my answer. If you could show your work that would be great.
Paladinen [302]

Answer:

8 = m

Step-by-step explanation:

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

\frac{0 + 80}{0 + 10} = \frac{80}{10} = 8

* You are correct my friend!

I am joyous to assist you anytime.

3 0
3 years ago
What triangle has no congruent sides but 1 right angle
iragen [17]

Answer:

scalene triangle

Step-by-step explanation:

4 0
2 years ago
Help :) <br> g(r)=−1−7r<br> g(6)
denpristay [2]
<span>g(r) = -1 − 7r

g(6) = -1 - 7*6 = -1 - 42 = -43

Hope it helps!
</span>
3 0
3 years ago
Read 2 more answers
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