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lesya [120]
3 years ago
6

Find the possible values for k for which the line y = (1/2)x + k is tangent to x^2 + y^2 = 8k.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

8k because 8k had only simbol of k

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You and your friend drive toward each other. The equation 50h=190−45h represents the number h of hours until you and your friend
Gala2k [10]

Answer:

The answer is 2 hours later.

Step-by-step explanation:

In order to find how many hours you and your friend meet, you have to solve the equation to find h :

50h = 190 - 45h

50h + 45h = 190

95h = 190

h = 190 \div 95

h = 2

5 0
3 years ago
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24
Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

\frac{90}{100}x=24.3

0.90x=24.3

\frac{0.90x}{0.90}=\frac{24.3}{0.90}

x=27

To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

\frac{60}{100}(27)=0.60(27)=16.2

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

0.20(60)=12

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.

8 0
3 years ago
2. ​14 repeaing as a fraction
tino4ka555 [31]
You need to state more info, this isn't even a question
7 0
3 years ago
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A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?
zloy xaker [14]

16 % = 38

(16 × 6 = 96

16 / 4 = 4 so = 38/4 = 9.5)

100% = 38*5 + 9.5

=199.5

3 0
3 years ago
If the function f is defined by f(x) = In(logx), what is f(0.1)?
mestny [16]

Answer:

f(0.1) = i \pi

Step-by-step explanation:

Plug x = 0.1.

Therefore f(0.1) = ln (log (0.1)).

0.1 = 10^(-1), and by the definition of log, log 0.1 = -1.

Now f(0.1) = ln (-1).

By Euler's identity, e^(i pi) = -1.

So ln (-1) would be i pi.

f(0.1) = i \pi

3 0
3 years ago
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