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3 years ago

Orthocenter of the triangle with vertices J(1,0) H(6,0) I(3,6)

Mathematics

1 answer:

Phoenix [80]3 years ago

3 0

Answer:

(3, 1)

Step-by-step explanation:

The orthocenter is the point where the altitudes meet. Since all three altitudes meet there, it is only necessary to look at two of them. A graph helps immensely.

In the attached graph, we notice that segment HJ is horizontal, so the x-coordinate of the orthocenter will be that of point I (x=3).

The segment IJ has a rise of 3 for a run of 1, so its perpendicular through point H will have a rise of 1 for a run of -3. That gets you to point (3, 1) from point H, so (3, 1) is the orthocenter.

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Can someone please help me answer this question asap thank

NeX [460]

Answer:

1. x = -6, -8, -90

2. solutions for $-2x\geq 10$ include -5, while -5 is not a solution for $-2x>10$

Step-by-step explanation:

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3 years ago

What is the factored form of this expression? 27m^3 +125n^3

ddd [48]

Answer:

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

Step-by-step explanation:

$27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3$

Apply sum of cubes formula: $x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)$

$\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)$

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

5 0

3 years ago

Read 2 more answers

Huw has a maths test. the second question is:

xeze [42]

Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

<h3>How long will Seaview Hotel's food feed 30 guests?</h3>

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

Find out more on inverse proportion at brainly.com/question/1266676.

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2 years ago

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original l

anzhelika [568]

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is at least 1/2 inch from the left hand side.

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

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3 years ago

At what position does the ball have its maximum potential energy

Anuta_ua [19.1K]

Potential energy<span> is the </span>energy<span> possessed by an object because of its position.
So it is D the highest point of the trajectory. </span>

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3 years ago

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