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bonufazy [111]
3 years ago
14

50 points Its really geometry Distance Formula

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Step-by-step explanation:

1) 51

2)32

3) 18

4)9

5)12

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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)
Vilka [71]

Answer:

x=3\log_3 (2) +8

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base [log(a)^{b}=b\times log(a)].

For the function given.

3^{(x-8)} = 8,using log function both sides.

(x-8)log(3)=log(8)

Now,

(x-8)=\frac{log(8)}{log(3)}

Adding 8 both sides.

x=\frac{log(8)}{log(2)} +8

And we know that 8=2^{3} so we can further write log(8)=log(2^{3})=3log(2)

Then we have x=\frac{3\log(2)}{\log 3} +8.

Now, using change of base formula:

\frac{\log y}{\log b}=\log_b y

So, \frac{\log 2}{\log 3}=\log_3 2

Our final answer is  x=3\log_3 (2) +8.

6 0
3 years ago
Read 2 more answers
A number to the 9th power divided by the same number to the 6th power equals 64. What is the number?
Vika [28.1K]
Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4

note that x^9 means "x to the power of 9", same with other ones

the number is 4.
5 0
3 years ago
Elizabeth has a 15% discount coupon for a furniture store. She sees a new couch that she wants to buy. After the 15% discount wa
stealth61 [152]
To answer this since the discount is 15% the retail is 75% so you would put it in a ratio or part over whole so .75=2210 and 100%=x so then you would divide 2210 by .75 and you get 2946 but I’m not sure so...
3 0
3 years ago
If SP is equal to rupees 400 and loss percent is 20% find CP​
Sindrei [870]
  • SP=400
  • Percentage of loss=20%

100-20=80%=400

\\ \rm\longmapsto 80\%\:of\:CP=400

\\ \rm\longmapsto CP=400\times \dfrac{100}{80}

\\ \rm\longmapsto CP=5(100)

\\ \rm\longmapsto CP=500

6 0
3 years ago
Read 2 more answers
How much will the guitar be worth in 10 years?
Contact [7]

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487. Hope this helps!

8 0
3 years ago
Read 2 more answers
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