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miss Akunina [59]
3 years ago
6

Someone help me please

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Step-by-step explanation:

The slope of the line passing through two points is given by,

\frac{y2 - y1}{x2 - x1}

13)

\frac{(0 - y)}{(0 - 2)}  =  (\frac{ - 3}{2} )

\frac{ - y}{ - 2}  =  \frac{ - 3}{2}

y =  - 3

option D

14)

\frac{ ( - 3 - y)}{(1 + 5)}  =  \frac{ - 1}{6}

\frac{ - 3 - y}{6}  =  \frac{ - 1}{6}

- 3 - y =  - 1

- y =  - 1 + 3 = 2

y =  - 2

option C

15)

\frac{(y - 4)}{( - 5 + 1)}  =  \frac{1}{4}

\frac{y - 4}{ - 4}  =  \frac{1}{4}

- y + 4 = 1

- y = 1 - 4 =  - 3

y = 3

option B

16)

\frac{(y + 3)}{( - 4 - 3)}  =  \frac{ - 3}{7}

- (y + 3) =  - 3

y = 3 - 3 = 0

option C

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The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t
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Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

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S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

3 0
3 years ago
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