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ivann1987 [24]
2 years ago
11

Prove that 1÷loga ab + 1÷logb ab=1​

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1 ÷ loga ab + 1 ÷ logb ab

=  1 / (loga ab)  +   1 /  (loga ab / loga b)    { change of log base)

= 1 / (loga ab) +  loga b / (loga ab)

=  (1 + loga b) / loga ab

=  (1 + loga b) / (loga a + loga b)    Now loga a = 1 so we have:

((1 + loga b) / (1 + loga b)

= 1.

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What is the best name of the solid that can be formed by this net? rectangular pyramid rectangular prism triangular prism tetrah
sergeinik [125]

Answer:

The answer is rectangular pyramid.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For the equation 3x - 5y = -3, what is the value ofy when x is 1?<br> 6/5<br> -6/5<br> 5/6
Law Incorporation [45]

Answer:

y = 6/5

Step-by-step explanation:

3x - 5y = -3

Let x =1

3(1) - 5y = -3

3-5y = -3

Subtract 3 from each side

3-3-5y = -3-3

-5y = -6

Divide each side by -5

-5y/-5 = -6/-5

y = 6/5

8 0
3 years ago
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Which of the following systems of inequalities represents the graph?
mixer [17]

Answer:

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is

y-0=\frac{4-0}{0-(-2)}(x-(-2))

y=2(x+2)

y=2x+4

-2x+y=4

All area above the solid line is shaded. It means the sign of inequality is ≥.

-2x+y\geq 4

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is

y-0=\frac{2-0}{0-(2)}(x-(2))

y=-1(x-2)

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All area below the dashed line is shaded. It means the sign of inequality is <.

x+y

System of inequality is

-2x+y\geq 4

x+y

Therefore, the correct option is D.

5 0
3 years ago
mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem
-Dominant- [34]

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

6 0
2 years ago
A number subtracted from 90 is three times that number
sergeinik [125]
90-n=3n
90=4n
22.5=n

Final answer 22.5
3 0
3 years ago
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