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iogann1982 [59]
1 year ago
15

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?

Mathematics
1 answer:
Schach [20]1 year ago
7 0

The y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C

<h3>How to determine the coordinates</h3>

Let's the point that divides the line segment as point S.

We have that,

Point S divides the line segment into ratio 2:3

The ratio 2:3 means that we are to divide the line segment into;

= 2+3

= 5 equal parts.

We then have that the horizontal distance between the two coordinates is 5

The vertical distance between the two coordinates is 10

Now, let's divide both vertical and horizontal distance into five equal parts,

Horizontal distance = 5/5 = 1

Vertical distance = 10/ 5 = 2

The horizontal distance is 1

The vertical distance is 2

For every one unit move to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.

The coordinate of point S that divides the line segment into 2 parts and 3 parts is (-5,5)

Thus, the y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C

Learn more about y -coordinate here:

brainly.com/question/7243416

#SPJ1

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olga2289 [7]
The answer is definitely 2.4>3x
7 0
2 years ago
Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?
asambeis [7]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

4 0
2 years ago
Frank made a New Years resolution to get into better shape. He decides to join LA fitness. He has to pay a one-time enrollment f
professor190 [17]

Answer: an equation that represents the total costs of the gym membership based on the number of months is

y = 25x + 50

Step-by-step explanation:

Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.

Let y represent the total cost of using the gym for x months.

He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be

y = 25x + 50

8 0
3 years ago
The table shows the numbers y of students absent from school x days after a flu outbreak.
allsm [11]
  1. A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
  2. The number of students that are absent 10 days after the outbreak is equal to 11 students.

<h3>What is a scatter plot?</h3>

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

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

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:

y = -0.4908x² + 5.8845x + 1.3572

For the number of students that are absent 10 days after the outbreak, we have:

y = -0.4908(10)² + 5.8845(10) + 1.3572

y = -0.4908(100) + 58.845 + 1.3572

y = -49.08 + 58.845 + 1.3572

Number of students, y = 11.12 ≈ 11 students.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

5 0
1 year ago
1. Find the area. The figure is not drawn to scale.
Naily [24]
<span><span><u>Answer </u>
</span><span>Question 1. D. 14.04 cm</span></span>²<span><span>
Question 2. A. 34 cm</span></span>²<span><span>
Question 3. A. 144.5 cm</span></span>²<span><span> 

</span><span><u>Explanation </u>

</span><span><u>Question 1 </u>
The figure is a looks like a parallelogram of length 2.7 cm and a vertical height of 5.2 cm.
The formula for finding the area of a parallelogram is;
Area =length ×height
Area =2.7×5.2
Area =14.04 cm</span></span>²<span><span>

<u>Question 2 </u>
The figure is a triangle of base length 17 cm and a vertical height of 4 cm.
Area of a triangle = 1/2×length×height
=1/2×17×4=34 cm</span></span>²<span><span> 

<u>Question 3</u>
The figure is a combination of two figures, a rectangle and a triangle.
You should find the area of the 2 figures and then add them together.
Rectangle=length ×width
=13×9=117
Triangle =1/2×base×height
=1/2×11×(13-8)=1/2×11×5=27.5
Total area = 117 + 27.5 =144.5 cm</span></span>²<span><span>
</span></span>
4 0
2 years ago
Read 2 more answers
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