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Nimfa-mama [501]
4 years ago
11

The​ time, t, required to drive a fixed distance varies inversely as the​ speed, r. It takes 8 hr at a speed of 15 ​km/h to driv

e a fixed distance. How long will it take to drive the same distance at a speed of 29 ​km/h? The time taken to drive the same distance at a speed of 29 ​km/h is nothing ▼ minutes. seconds. hrs.
Mathematics
1 answer:
loris [4]4 years ago
7 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

The​ time, t, required to drive a fixed distance varies inversely as the​ speed, r. By introducing a constant of variation, k(the fixed distance), the expression becomes

t = k/r

It takes 8 hr at a speed of 15 ​km/h to drive a fixed distance. It means that

8 = k/15

k = 8 × 15 = 120

The equation becomes

t = 120/r

Therefore, the time it will take to drive the same distance at a speed of 29 ​km/h is

t = 120/29 hours

Converting to minutes, it becomes

120/29 × 60

= 248. 28 minutes

248 minutes, 28 seconds

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We need to define coterminal angles, when there are two angles, one of which is a multiple of 360° and this angle is also the larger angle between the two. Therefore, in the given problem, we 460° where the two angles are the 360° and x. Solving for x, we have:
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3 years ago
The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?
Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).  

The coordinates of A are (-4,-5),  

We need to find the coordinates of B.

We know that, mid-point formula for two points A(x_{1}, y_{1}) and B (x_{1}, y_{2}) is given by

M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, in our problem, \mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5

Now, on substituting values in midpoint formula, we get

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On comparing, with the formula,

\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1

-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2

\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7

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<u>Step-by-step explanation:</u>

The number 17 does not belong with 26, 44 and 65.

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Answer:

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