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Ulleksa [173]
3 years ago
8

6. Describe, step-by-step how to find the slope of a line through two points.

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

Step-by-step explanation:

The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.

For example:

Find the slope of the line joining the points (3, 5) and (-2, 1)

The slope = (5 - 1) / (3 - (-2))

= 4/(3+2)

= 4/5.

NOTE:

You would get the same result if you reversed the values

- that is (1 - 5)/(-2 - 3

= -4/-5

= 4/5.

The important thing to remember is to use <em>corresponding </em>values in the calculation.

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75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t
yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0
2 years ago
50 points Please help ASAP
jeyben [28]

Answer:

Im not fully sure but I think it is negative 2 and negative 3

3 0
3 years ago
Read 2 more answers
ΔTUV∼ΔMLV
Musya8 [376]

Answer:

98

Step-by-step explanation:

From the statement of similarity, we can write this proportion.

TV/MV = UV/LV

28/x = 16/56

16x = 28 × 56

x = 7 × 14

x = 98

4 0
1 year ago
Complete the statement below.
slava [35]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>3 × 4 = 4 × 3</em>

▹ Step-by-Step Explanation

You can use any expression that shows the commutative property of multiplication. For example, 3 × 4 = 4 × 3

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
You choose a marble at random from a bag containing 8 brown marbles 6 yellow marbles and one purple marble. You replace the marb
Andrej [43]
Pick 1: 6 yellow out of 15 total marbles = 6/15 = 2/5
Pick 2: 6 yellow out of 15 total marbles = 6/15 = 2/5

Pick 1 AND Pick 2
   2/5     x       2/5    = 4/25
5 0
3 years ago
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