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Juliette [100K]
3 years ago
10

Write log(x^2-9)-log(x+3) as a single logarithm.

Mathematics
2 answers:
AfilCa [17]3 years ago
5 0
One way: log(A)-log(B) = log(A/B) right?

So, log( x^2-9/(x+3))

Now x^2-9 = (x+3)*(x-3), and x^2-9/(x+3) = x-3,

so log(x^2-9)-log(x+3) = log(x-3),

Indeed for all x but for x = -3, but probably no one asks you about that detail?
Tresset [83]3 years ago
5 0

Answer:

b edge

Step-by-step explanation:

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jala has an aquarium in the shape of a rectangular prism with the dimensions shown. what is the height of the of the aquarium ?
beks73 [17]
I think that it your answer is 12.4 but im not 100% sure 

plz mark brainiest

5 0
3 years ago
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ITS URGENT PLEASE HELP ME
Iteru [2.4K]
I think that it is D or A
3 0
2 years ago
Find the length of the major arc in RED. Round your answers to the nearest tenth.
scoray [572]

Answer:

52.4

Step-by-step explanation:

Arc length = 2πr(θ/360)

r = 10

θ = 300°

Arc length = 2π(10)(300/360) = 20π(0.8333) = 16.666π ≈ 52.36

4 0
2 years ago
Suppose m = 2 + 6i, and | m + n | = 3√10, where n is a complex number.
Ksju [112]

Answer: a) √50

b) n = 1 + 7i

Step-by-step explanation:

first, the modulus of a complex number z = a + bi is

IzI = √(a^2 + b^2)  

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a  + bi

Im + nI = 3√10

Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10

            = √(a^2 + b^2 + 40) = 3√10

             a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90

             a^2 + b^2 = 90 - 40 = 50

            √(a^2 + b^2 ) = InI = √50

The modulus of n must be equal to the square root of 50.

now we can find any values a and b such a^2 + b^2 = 50.

for example, a = 1 and b = 7

1^2 + 7^2 = 1 + 49  = 50

Then a possible value for n is:

n = 1 + 7i

6 0
3 years ago
Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8 g(x) = x + 9 2,0
ikadub [295]
ANSWER
f(g(10)) = 198

EXPLANATION

The given functions are;

f(x) = 10x + 8
and

g(x) = x + 9


To find
f(g(10))
we need to find

f(g(x)) = f(x + 9)


f(g(x)) =10(x + 9) + 8



f(g(x)) =10x + 90 + 8


f(g(x)) =10x + 98



f(g(10)) = 10(10) + 98


f(g(10)) = 100 + 98


f(g(10)) = 198


The last option is the correct answer
7 0
4 years ago
Read 2 more answers
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