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Dmitrij [34]
4 years ago
6

Slope=

Mathematics
1 answer:
elixir [45]4 years ago
3 0

Point 1 (0, - 2)

Point 2 (8,0)


Slope = (y2-y1)/(x2-x1)= (0-(-2))/(8-0)=2/8=1/4

y-intercept (from the Point 1 (0, - 2)) is -2.


Equation : y=(1/4)x - 2


Coordinates to test are (4,-1).


y=(1/4)x - 2

-1=(1/4)*4 -2

-1=1-2

-1=-1 True

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
3 years ago
Guadalupe can do a job in 15 hours. If she works with lan, together they can get the job done in 10 hours. How long would it tak
krok68 [10]

Answer:

30 hours

Step-by-step explanation:

The equation we use is 1/15 + 1/x = 1/10. X being the amount of time it takes Ian alone. X works out to 30 hours which is the answer

7 0
2 years ago
Factor 60x−84 using the gcf
White raven [17]
The greatest common factor of the expressions 60x and 84 is 12 because it can divide both 60 and 84 giving us the answer of 5 and 7, respectively. Factoring out 12 from the terms of the given expression will give us the answer of,
                                60x - 84 = 12(5x - 7)
5 0
3 years ago
Bonita spent $8.94 on groceries. She bought a gallon of milk for $4.29 and 3pounds of sliced turkey. How much does 1 pound of sl
Vesna [10]
<h2>Information</h2>

$8.94 spent in total on groceries

Gallon of milk = $4.29

3 pounds of sliced turkey bought = ?


<h2>Explanation</h2>

Subtract the total amount spent on groceries with what items you have prices for (in this case the gallon of milk):

$8.94 (total spent) - $4.29 (gallon of milk) = $4.65 (for 3 pounds of sliced turkey)

Next, divide the price for 3 pounds of sliced turkey with however many pounds Bonita bought (in this case, 3 pounds):

$4.65 (total for 3 pounds of turkey) ÷ 3 (pounds of turkey) = $1.55 (per pound of turkey)


<h2>Solution</h2>

Each pound of turkey costs $1.55

5 0
3 years ago
The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How
Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =\frac{Perpendicular}{Hypotenuse}

Sin22.3^{\circ} =\frac{AB}{AC}

AC=\frac{2600}{Sin22.3^{\circ}}

AC=\frac{2600}{0.379456159529}

AC=6851.9

So, riders travel 6852 feet .

3 0
3 years ago
Read 2 more answers
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