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nadya68 [22]
3 years ago
6

If 1/a + 1/b =1/c and ab=c,what is the average of a and b?

Mathematics
1 answer:
goblinko [34]3 years ago
4 0
If we solve the left side of the given equation,
                                  1/a + 1/b = 1/c
 we get an answer of,
                                    b+a / ab = 1/c
Since ab = c, we can conclude that b + a is 1. The average of these two numbers is equal to there sum divided by 2. The answer is therefore equal to 0.5. 
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The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and
Montano1993 [528]

Answer:

<em>y = - 4x + 38 </em>

Step-by-step explanation:

A(3, 9)

B(5, 1)

m_{AB} = \frac{1-9}{5-3} = - 4

CD║AB

C(9, 2)

y - 2 = - 4(x - 9)

<em>y = - 4x + 38</em>

5 0
3 years ago
Kayaks rent for $35 per day. Which expression can you use to find the cost in dollars of renting 3 kayaks for a day?
Murrr4er [49]

Answer:

$105

Step-by-step explanation:

assuming that it costs $35 dollars for renting 1 kayak per day:

3 * 35 = k   3 is for the # of kayaks and 35 is the cost

105 = k    multiply 35 w/ 3 to get the answer

6 0
4 years ago
Joe is riding his bicycle. He rides for 3 hours at a speed of 4.8 kilometers per hour. For how many kilometers does he ride?
eduard

Answer:

14.4km

Step-by-step explanation:

<h2>Speed = distance / time </h2>
  • speed = 4.8 km/h
  • time = 3 hrs
  • distance = ?

Distance = speed  * time

Distance = 4.8 * 3 = 14.4km

5 0
2 years ago
Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
Find value of h for the parallelogram to the right.​
mezya [45]

Answer:

9.1

Step-by-step explanation:

Area of parallellogram = 13x7 = 10xh

h = 13*7/10 =91/10 = 9.1

6 0
3 years ago
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