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Travka [436]
3 years ago
15

What is the slope of the line that passes through the points (3, -4) and (7, 4)?

Mathematics
1 answer:
Andrews [41]3 years ago
6 0
The correct option is: Option (C) 2

Explanation:

The slope formula is = m = \frac{y_2 - y_1}{x_2 - x_1}

Insert the values in the above formula:

m = \frac{4 - (-4)}{7 - 3} =  \frac{8}{4} = 2

Which is Option (C).
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2+12a. When adding, you're only collecting "like terms".
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3 years ago
Applications: Sarah's Pet Store never has more than a combined total of 16 cats and dogs. She also never has more than 9 cats. W
ankoles [38]

The possible solution is 12 cats and 4 dogs in Sarah's store.

Let x represent the number of cats and y represent the number of dogs.

Since Sarah's Pet Store never has more than a combined total of 16 cats and dogs. Hence:

  • x + y ≤ 16

Also, She also never has more than 9 cats. Therefore:

  • x > 9

The solution to the inequality is graphed. From the graph, the possible solution is 12 cats and 4 dogs

Find out more on inequalities at: brainly.com/question/24372553

4 0
2 years ago
A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?
Usimov [2.4K]

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

8 0
2 years ago
How can you quickly calculate 20 percent of any bill amount?
xenn [34]
<span>Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.Round up to the next easy number: $5.40.<span>Double that number to get $10.80, which is 20% of your original bill.</span></span>
6 0
3 years ago
Read 2 more answers
Karl set out to Alaska in his truck.
Ivenika [448]

Considering the linear function described, 500 liters of fuel were initially in the tank.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
1 year ago
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