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2 years ago

Find the midpoint M of the line segment joining the points C = (-1, -1) and D = (5, -5).

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

7 0

Answer:

The midpoint between the joining points C and D is (2, -3)

Step-by-step explanation:

How to find a midpoint

1: Label the coordinates(x₁,y₁) and (x₂,y₂).

2: Input the values into the formula.

3: Add the values in the parentheses and divide each result by 2.

4: The new values form the new coordinates of the midpoint.

Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point. We shall illustrate this below.

Midpoint formula

If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x₃,y₃). It is possible to divide a line segment into any given ratio, not just 1:1.

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2 years ago

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3 years ago

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2 years ago

As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

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3 years ago

A florist sold 6 iris bouquets and 15 other bouquets yesterday. Based on past data, how many of the next 35 bouquets sold should

viktelen [127]

Answer:

We should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.

Step-by-step explanation:

Given;

Number of iris bouquets sold yesterday = 6

Number of other bouquets sold yesterday = 15

We need to find number of iris bouquets sold out of 35 bouquets sold.

Solution:

First we will find the percent of iris bouquet sold yesterday.

Now we know that;

Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.

framing in equation form we get;

Total bouquet sold yesterday = $6+15 =21$

Now we can say that;

Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100

framing in equation form we get;

Percent of iris bouquet sold = $\frac{6}{21}\times 100 = 28.57\%$

Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.

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3 years ago

Find the midpoint M of the line segment joining the points C = (-1, -1) and D = (5, -5). ​

Find the midpoint M of the line segment joining the points C = (-1, -1) and D = (5, -5).