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3 years ago

13

Factorise the following expressions m²-9n²

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

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URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(c) $\log_2(\dfrac{64}{8})=3$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

Use the fact that (a^x)^y=a^xy to prove that log a^(b^y)= y•log a^b

raketka [301]

Answer:the answer is 45x

Step-by-step explanation:

4 0

2 years ago

Answer the circled question

Wittaler [7]

Answer:

Length = 6 cm Breadth = 5 cm

Step-by-step explanation:

All I did was find the factors of 30, and look out for the one that also equals 22 when added. 5+5+6+6=22, 5x6=30.

4 0

3 years ago

Find the interior and exterior angles of regular triangle.

storchak [24]

Answer:

dhbsugubihsvhukejbduisxkgdbwq

Step-by-step explanation:

iwdyhbjksgcsbhhsnnsgdhhsns

4 0

2 years ago

Read 2 more answers

Oprah makes $156.00 per day plus an additional 8% commission on her sales. Which equation could be used to find how much Oprah m

Natasha_Volkova [10]

Answer:

The answer is <u>C.</u> 0.08x + $156.00 = r.

Step-by-step explanation:

Given:

Oprah makes $156.00 per day plus an additional 8% commission on her sales.

She sold x dollars worth.

Now, to find equation how much Oprah made in one day, r.

As. given in question:

She makes per day = $156.00.

Worth of sold = $x.$

Commision on her sales = 8%.

And one day = $r.$

Now, to get the equation Oprah made in one day:

$r=\$156.00+8\%\ of\ x.$

$r=\$156.00+\frac{8}{100} \times x$

$r=\$156.00+0.08\times x$

$r=\$156.00+0.08x$

$r=0.08x+\$156.00$

$0.08x+\$156.00=r$

<em>Thus, the equation is</em> $0.08x+\$156.00=r.$

Therefore, the answer is C. 0.08x + $156.00 = r.

5 0

3 years ago