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Airida [17]
3 years ago
5

What's the slope of the line ? And explain please

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0
You take the difference between any two y and divide by the difference in the corresponding x. The number should be the same always for a straight line. That's your slope. A fancy way of writing it is dy/dx

so: (10-2)/(3-1) = 8/2 = 4 (using the first two points)
or: (26-2)/(7-1) = 24/6 = 4 (using the first and the last)

try it out for other combinations. The answer is 4 every time.
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Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
Molodets [167]

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

h(t) = \frac{800}{30}t, 0 \leq t < 30

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

h(t) = 800, 30 \leq t < 35

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at brainly.com/question/13205719

7 0
2 years ago
Anyone know? Will mark brainliest if correct! ​
Sveta_85 [38]

Answer:

A) Horsepower is the independent variable

D)  The scatter plot shows a negative correlation

Step-by-step explanation:

Independent variable goes on the x-axis, it does not depend on another.

In this case, horsepower is the independent variable.

Negative correlation is a relationship between two variables in which one variable increases as the other decreases.

In this case, the scatter plot shows a negative correlation.

4 0
3 years ago
6x^4 • 5x^3<br><br> Pleas help<br> Me on this problem!!
Leto [7]
30x^7

Multiply the coefficients (6•5) to get 30, then add the exponents (4+3) to get 7

Hope this helps!
4 0
3 years ago
Which graph represents a function with direct variation?<br><br>​
sweet [91]

This is easier than you think!

When a graph shows direct variation, it always <em>passes through the origin</em>

The origin is (0, 0)

The very <u>center! </u>

Your answer is the first graph!

5 0
3 years ago
Read 2 more answers
Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0
SCORPION-xisa [38]

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = \frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}

slope of red line = \frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

8 0
3 years ago
Read 2 more answers
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