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3 years ago

Find the slope of a line that passes through the points (5,4) and (-2,-1)

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

The slope is 5/7
4-(-1)=5 which is the Y value
5-(-2)=7 which is the X value
Slope =Y/X

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The equation y=9. 5x 0. 4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in second

Bas_tet [7]

The average speed of Marcella in feet per seconds is 9.5 feet per second.

<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>

We have this below shown relation between them

$\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }$

For the given case, we have:

The equation $y=9.5x + 0.4$ represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)

The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )

Let the initial time be 'x' with initial distance traveled 'y', then the time after one second will be (x+1), and the distance traveled be $y_1$

The value of y and $y_1$ are calculated as:

$y = 9.5x + 0.4\\y_1 = 9.5(x+1) + 0.4 = 9.5x + 9.9$

Thus, the average speed is calculated at time 'x' as:

$\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Average speed} = \dfrac{y_1 - y}{x + 1 - x} = \dfrac{9.5x + 9.9 - 9.5x - 0.4}{1} = 9.5 \: \rm feet/sec$

We could've also used the fact that in the relation of y to x as $y = mx + c$ , 'm' denotes the rate of y as x changes.

Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.

Learn more about average rate here:

brainly.com/question/12322912

4 0

2 years ago

A freight train travels 1445 miles in 25 hours. What is the train’s average rate of speed?

Alika [10]

Answer:

the train's average rate of speed would be 57.8 mph

Step-by-step explanation:

Divide 1445 with 25 and then you get your answer

brainilest pls

anyway hope this helped have an awesome day bye byeee

6 0

2 years ago

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. a stop w

stellarik [79]

To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m

3 0

3 years ago

You compare the number of words per sentence in a sports magazine to the number of words per sentence in a fashion magazine. The

goldenfox [79]

Answer:

answer is b

Step-by-step explanation:

8 0

3 years ago

Given TT = 3.142 the volume of the r = 4cm and h=8cm,Find the volume of the cone.

irakobra [83]

the volume of the cone.

1/3 pi r^2h

4 0

2 years ago

Read 2 more answers