3 years ago

What is the slope of (-3, 1) and (2, -1)

Mathematics

1 answer:

solmaris [256]3 years ago

8 0

Answer:

the slope is -2/5

Step-by-step explanation:

you do y2-y1 on top of the division sign and x2-x1 on the bottom.

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Hello, I need help finding the solutions of the equation log base 2 (x+8)+2=2 log base 2 (x)

yuradex [85]

$\bf log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)
\\\\\\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)
\\\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\$

$\bf log_2(x+8)+2=2log_2(x)\implies log_2(x+8)-2log_2(x)=-2
\\\\\\
log_2\left(\cfrac{x+8}{x^2} \right)=-2\implies 2^{log_2\left(\cfrac{}{}\frac{x+8}{x^2} \right)}=2^{-2}\implies \cfrac{x+8}{x^2}=\cfrac{1}{2^2}
\\\\\\
4x+32=x^2\implies 0=x^2-4x-32
\\\\\\
0=(x+4)(x-8)\implies 
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0=x+4\implies &-4=x\\
0=x-8\implies &8=x
\end{cases}$

6 0

3 years ago

Read 2 more answers

In a recent year,the weather was pretty cloudy 2/5 of the days. Assuming there are 365 days in a year, how many days were partly

Mariana [72]

We can solve this pretty easily using a proportion where x equals the number of cloudy days in the year:

2/5 = x/365
Now cross multiply:
730 = 5x
And finally divide both aides by five:
146 = x
So 146 days of the year were cloudy.

Hope I helped, and let me know if you have any questions!

6 0

3 years ago

It'll be a triangular prism right?

Harlamova29_29 [7]

Yes it would be a triangular prism

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3 years ago

Rusty's hair grows at the rate of 1/4 inch per month.

Sunny_sXe [5.5K]

All i got was 1 and a half months

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3 years ago

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Steven paid $39 for a pizza delivery it took over a hour to receive it so he got a 10% discount how much did he pay after the di

In-s [12.5K]

Answer:386.1

Step-by-step explanation:

10% of 39

10/100 x 39

(10x39)/100

390/100=3.9

390-3.9=386.1

He paid 386.1 after discount

6 0

3 years ago