What is the slope of the line that passes through the points (2, 8) and (6, 12)? A. –5 B. –1 C. 1 D. 5

1 answer:

5 0

The slope is an expression of the change in y after a change in x.
Usually, this is expressed with a ratio, with the difference in y first.

The formula for slope is written as $m=\frac{y_2-y_1}{x_2-x_1}$ .
Our points are $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

Of course, the difference is just subtracting one from the other, but you'll get either a positive or negative value depending on which way you subtract. That's all fine and dandy if you handle the differences in x and y in the same way like in the formula, because any unwanted negatives get cancelled out...it's not important.

Anyways, let's plug our points (2, 8) and (6, 12) into the slope formula.

$\frac{12-8}{6-2}=\frac{4}{4}=\frac{1}{1}$

Any number divided by 1 stays the same, so we can leave out the /1 and just have our slope be 1.

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Difference between 1 8/10 and 2 2/5

Eva8 [605]

The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10 --> 18/10
2 2/5 --> 12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10 --> -3/5

The answer is negative 3/5.

I hope this helps.

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3 years ago

What are all the steps to solving a Quadratic Formula? (steps please)

nika2105 [10]

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4 0

2 years ago

Gerald has a punch bowl in the shape of a hemisphere as shown below.

zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

$V = \frac{2}{3}\pi r^3$

This gives

$V = \frac{2}{3}\pi * 6^3$

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30