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Damm [24]
3 years ago
6

The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely. 81x2 – 49 The

value of a is . The value of b is . The product of the prime factors is .
Mathematics
2 answers:
NNADVOKAT [17]3 years ago
5 0

The value of a is 9x   The value of b is 7       The product of the prime factors is  (9x-7)(9x+7)

borishaifa [10]3 years ago
3 0
To answer your question: Rewrite <span>81<span>x2</span></span> as <span><span>(<span>9x</span>)</span>2</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−49</span></span>Rewrite 49 as <span>72</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−<span>72</span></span></span> Both terms are perfect squares, factor using the difference of squares formula, <span><span><span>a2</span><span>−<span>b2</span></span></span>=<span><span>(<span>a+b</span>)</span><span>(<span>a<span>−b</span></span>)</span></span></span> where <span>a=<span>9x</span></span> and <span>b=7</span>.<span><span>(<span><span>9x</span>+7</span>)</span><span>(<span><span>9x</span><span>−7</span></span><span>)</span></span></span>
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vodka [1.7K]

Answer 400


Step-by-step explanation: 1 hours = 60 min

60 min divided by 9 = 6.66666667

6.66666667 * 5 dozen pretzels/ 60 pretzel = 400

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3 years ago
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In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what
Neporo4naja [7]

Answer:

BD=4\sqrt{3}\ units

Step-by-step explanation:

we know that

AD=12\ units

3CD=12 ----> CD=4\ units

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{BD}{AD}=\frac{CD}{BD}

substitute the given values

\frac{BD}{12}=\frac{4}{BD}

BD^2=48

BD=\sqrt{48}\ units

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3 years ago
A university hired you as a lab assistant after you graduated. Your starting salary is $41,500 and your salary will increase by
VladimirAG [237]

Answer:

$67,000

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You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per
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Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

a = p(1 +  \frac{r}{n} ) {}^{nt}

  • where p is the original amount.
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P is 400,00p

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$722444.49386776

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Please help with this Algebra 1 math problem:
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