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ivann1987 [24]
3 years ago
11

Prove that 1÷loga ab + 1÷logb ab=1​

Mathematics
1 answer:
PSYCHO15rus [73]3 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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mary lou is twice geoge's and kate is two years younger than george the sum of all of their ages is 46 how old is everyone​
saw5 [17]

Answer:

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2(12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

3 0
3 years ago
Read 2 more answers
Point A lies on the circle and has an x-coordinate of –3. Which value could be the y-coordinate for point A? 2.5 2.8
vodka [1.7K]

Answer:

the other point could be 2.8

Step-by-step explanation:

in circle values of both x and are almost equal in magnitude

since 2.8 is closest to 3 i magnitude

hence 2.8 will  be correct option

this point will lie in third coordinate

as  third coordinate has points

(-x,y)

and coordinates of points lie on the circle are

(-3,2.8)

8 0
3 years ago
Read 2 more answers
Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.
jarptica [38.1K]

Answer:

14

Step-by-step explanation:

61.68 = 62

48.225= 48

62-48= 14

4 0
3 years ago
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Steak Dinner: $10.59
gregori [183]

Answer: $11.41

Step-by-step explanation:

3 0
3 years ago
5=g/8 PLRASE HELP Me
pantera1 [17]

G= 40

5x8=40

40/8=5

All you have to do is inverse operations so instead of dividing you multiply your 5 and 8 to get 40 and then check your work.

4 0
3 years ago
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