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1 year ago

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Mathematics

2 answers:

raketka [301]1 year ago

6 0

Answer:

yes

Step-by-step explanation:

stepladder [879]1 year ago

6 0

Yes there are 3, 4, 5 right triangles and a rule for them as well.

the rule says that if one side of a triangle measures 3 and the adjacent side measures 4, then the diagonal between those two points must measure 5 in order for it to be a right triangle.

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

2 years ago

There is a 10% sales tax on a purchase of $13.50 how much is the tax

raketka [301]

Answer:

1.35

Step-by-step explanation:

13.5/100 times 10 = 1.35

8 0

3 years ago

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A Factory produces 24532 bulbs in a month. What is its annual<br> production?

Marina CMI [18]

Answer:

294, 384

Step-by-step explanation:

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2 years ago

Given the quadratic function : f(x)=x^24x-12<br> Find the vertex.<br> Can you show the steps?!?

vlada-n [284]

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
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2 years ago

What is the place value for 5 in 35.052

snow_tiger [21]

The place value is the hundreths

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2 years ago

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