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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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Write the first 6 answers to the sequence and please explain how you got them
Debora [2.8K]

Answer:

Step-by-step explanation:

a1 = 7

a2 = 4(7) = 28

a3 = 4(28) = 112

a4 = 4(112) = 448

a5 = 4(448) = 1792

a6 = 4(1792) = 7168

4 0
3 years ago
Ivan draws PQR on the coordinate plane.
Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0
3 years ago
What is (f - g)(x)?<br> f(x) = -3x² - 10x<br> g(x) = x2+6x
Anastaziya [24]

Answer:

Step-by-step explanation:

-3x^2 - 10x - x^2 - 6x

-4x^2 - 16x

5 0
4 years ago
Laney walks 2 1/3 miles to school from her house and rides the bus home. If she walked five days
Vilka [71]

Answer:

The answer is 35/3. I hope it helps you....

4 0
3 years ago
Read 2 more answers
A dime is 1.25 mm thick. How many meters high would a stack of dimes worth $50 be?
Ira Lisetskai [31]
1.25mm x 50 = 62.5 mm  Now lets change mm to meters.   There are 1000 millimeters in a meter and we are only talking about 62.5 so we are not even at a single meter.  Answers B and C can be eliminated.
 
   meter    decimeter   centimeter    millimeter  (each one is ten times more or less than the previous one depending on where you start.
Since we are changing mm to m, we will get fewer.  Why - try grouping any small things  like 14 days - you get 2 weeks.   72 hours - you get 3 days.  Notice that the number gets lower.  14---->2   and 72------->3
So we can expect our number to get smaller.  The beauty of the metric system it that is based on 10 so it involves moving decimals and adding or subtracting zeros if needed.
 meter    dm     cm   mm
                               62.5
notice that it would take 3 "jumps" to the left to get it under the word meter.   That means our decimal has to move 3 jumps to the left too.  In order to do that we need to add a zero in front of the 6 in 62.5
<u>Correct answer is 0.0625 </u> which is none of the answers above - Notice that the decimal is 3 places left from where it was before (62.5).


5 0
4 years ago
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