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1 year ago

identify the special product by writing the letter of the answer on the space provided ( question in photo number 1 )

Mathematics

1 answer:

Taya2010 [7]1 year ago

8 0

Question:

Solution:

Note that :

$x^2+9x\text{ + 20 = 1(x+4)(x+5)}$

where the left hand of the equation represents a trinomial and the right hand of the equation represents a product of two binomials. Then, we can conclude that the correct answer is:

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Can someone help me find the equivalent expressions to the picture below? I’m having trouble

miss Akunina [59]

Answer:

Options (1), (2), (3) and (7)

Step-by-step explanation:

Given expression is $\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$ .

Now we will solve this expression with the help of law of exponents.

$\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$

$=\frac{\sqrt[3]{2\times 3} }{3\times2^{\frac{1}{9}}}$

$=\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3\times 2^{\frac{1}{9}}}$

$=2^{\frac{1}{3}}\times 3^{\frac{1}{3}}\times 2^{-\frac{1}{9}}\times 3^{-1}$

$=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}$

$=2^{\frac{3-1}{9}}\times 3^{\frac{1-3}{3}}$

$=2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }$ [Option 2]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2$ [Option 1]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2$

$=(2^2)^{\frac{1}{9}}\times (3^2)^{-\frac{1}{3} }$

$=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }$ [Option 3]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }$

$=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}$ [Option 7]

Therefore, Options (1), (2), (3) and (7) are the correct options.

6 0

3 years ago

What fraction of an hour is 18 minutes?<br> Give your answer in its simplest form.

enot [183]

Answer:

3/10

Step-by-step explanation:

An hour is 60 mins

so the fraction would be 18/60

Then you can divide both numbers by 6 to 3/10

4 0

3 years ago

Read 2 more answers

8. Given that DAB and DCB are right angles and BDC = 55°, what is m CAD?

Artyom0805 [142]

Answer:

Step-by-step explanation:

5 0

3 years ago

The sum of two numbers is 41. The larger number is one more than four times the smaller number. What are the numbers?

EleoNora [17]

Answer:

8+ 33

Step-by-step explanation:

8+33=41

8 (the smaller number) times 4 equals 32.

The number 33 is one more than 32.

Hope this helps!

4 0

3 years ago

Y=8x+25, where x is hours . what is the y-intercept

Nady [450]

Y-intercept is 25. Plug 0 in for x.

4 0

3 years ago