2 years ago

8th grade math :( tysm to who helps

Mathematics

1 answer:

Scrat [10]2 years ago

6 0

It’s b

Step by step explanation: b

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Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

3 0

3 years ago

It is 30 points and will give brainliest

allochka39001 [22]

Answer:

4a2−4ab+b2

Step-by-step explanation:

(2a−b)2 =(2a+−b)(2a+−b)

=(2a)(2a)+(2a)(−b)+(−b)(2a)+(−b)(−b)

Sooo our equation =4a2−2ab−2ab+b2

Hoped I helped -

Sleepy~

7 0

3 years ago

3. Which shape could NOT be the result of a plane slicing a cube?

telo118 [61]

Answer:

Step-by-step explanation:

Hope this helped! Please tell me If I'm wrong!

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Alla [95]

2.6 would be the proper answer to this question

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atroni [7]

Answer:

The answer is k=61-26

Step-by-step explanation: This is because if you were to subtract 61 from 26 you will get 35. If you take 35 and add it to 26 you will get 61.

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3 years ago

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