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3 years ago

I need help figuring out the slope to these points Y=-x-4

Mathematics

1 answer:

mash [69]3 years ago

8 0

Answer:the slope is -1

Step-by-step explanation:

Comparing them equation to

y=mx+c where m is there slope

y=-x-4 the slope is -1

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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Read 2 more answers

(Give Brainliest)need ASAP

cupoosta [38]

Answer:

the answer is 1/2

Step-by-step explanation:

Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps

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