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pishuonlain [190]
3 years ago
13

Your classmate wants you to check her work. She is working on a math question that asks her to determine the slope of a line giv

en on a graph. You can see that the graph is a line, and that the line is increasing. Your classmate says that it’s a positive slope but you are not sure of the explanation. She tells you that she went down 5 units and to the left 3 units to the next point on the line to determine the slope. Determine if your classmate is correct and explain why or why not.
Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0
The answer of my classmate that the line has a positive slope is CORRECT. This is because the line is most likely to lean to the right. The slope can be calculated through the equation, 
                                    slope = rise / run = change in y / change in x
If both are negative, the slope is POSITIVE. 
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maw [93]

Answer: x = -14/5

Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation

-2/3 (x + 2) = 1/6 (x + 6)

(-2x/3) -4/3 = (x/6) + 1

By collecting like terms we now have

(-2x/3) - (x/6) = 1 + 4/3

(-4x - x)/6 = 7/3

-5x/6 = 7/3

By cross multiplication we now have

-5x (3) = 7 (6)

-15x = 42

x = -(42/15) {simplify further by dividing the RHS by 3}

x = -14/5

Therefore x equals, minus fourteen over five (-14/5)

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Given that lines a and bare parallel, what angles formed on line b when cut by the transversal are congruent with &lt;3
Evgesh-ka [11]

Alternate Interior Angles forms when two parallel lines cut by transversal.

Step-by-step explanation:

Transversal is a line that intersects two or more lines.

Alternate Interior Angles forms when two lines are cut by a Transversal, the pairs of angles on either side of the transversal and inside the two lines.

Take 8 angles, 1,2,3,4,5,6,7 & 8 present on the lines A & B. Let C is a transversal cutting the lines A & B.

Here the pairs of angles are 1 & 5, 2 & 6, 3 & 7, 4 & 8.

Alternate Interior angles are 3 & 5, 4 & 6.

If two parallel lines are cut by a transversal, then the alternate interior angles should form congruent.

8 0
3 years ago
Although, Lara Croft was successful at stopping the enemy in
earnstyle [38]

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

5 0
3 years ago
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