All categories

3 years ago

What is the slope of the line that contains the points (-2,5) and (6-3)

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

You might be interested in

The length of a rectangle is 4 meters longer than the width. if the area is 21 square meters, find the rectangle's dimensions.

brilliants [131]

The length of a rectangle is 4 meters longer than the width. if the area is 21 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.

7 0

4 years ago

Jon's coin collection consists of quarters, dimes and nickels. If the ratio of quarters to dimes is 5:2, and the ratio of dimes

Margarita [4]

Answer:

The ratio of quarters to nickels is:

15:8

Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

5/2 = 2.5

Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

4/3 = 1.33333333333 (we are going to use the fractional number so as not to lose decimals).

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

q = 2.5d
n = 4/3 d

Where:

q = quarters
d = dimes
n = nickels

As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values that accompany "d" in the formulas:

2.5 / (4/3) = 15/8

If we express it in ratio as it is in the exercise, we obtain:

15:8

So, 15:8 is the ratio of quarters to nickels, which means that for every 15 quarters, jon has 8 nickels.

8 0

3 years ago

What is the numerator of the simplified sum?

sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

$\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}$

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

$\frac{x + 3(x + 2)}{(x + 1)(x + 2)}$

$\frac{x + 3x + 6)}{(x + 1)(x + 2)}$

$\frac{4x + 6)}{(x + 1)(x + 2)}$

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0

3 years ago

Plllllllllllllllllleassssssssseeeeeeeeee help

Vlad1618 [11]

Answer:

1/(5^12 * 32^3 * 9^15)

Step-by-step explanation:

5^-12 = 1/(5^12)

32^-3 = 1/(32^3)

9^-15 = 1/(9^15)

1/(5^12) * 1/(32^3) * 1/(9^15) = 1/(5^12 * 32^3 * 9^15)

8 0

3 years ago

What is the function?

Bezzdna [24]

Answer:

you can do it , you can solve it , if you will not learn no job no money so need to study :))

Step-by-step explanation:

hope it helps ;)))

3 0

3 years ago