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bija089 [108]
3 years ago
8

What are the coordinates of the orthocenter of △XYZ with vertices at X(−3, 3) , Y(1, 3) , and Z(−3, 0) ?

Mathematics
1 answer:
klemol [59]3 years ago
8 0
<span>Orthocenter is at (-3,3) The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.) Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0 Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3. Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0 Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3. So the orthocenter is at (-3,3).</span>
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225/4

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x²– 15x – 23 = 0

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We take to coefficient of the x term

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divide by 2

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The circumference of a circle is 69.08 meters. What is the circle's radius? Use 3.14 for ​.
Nezavi [6.7K]

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7 0
2 years ago
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Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided t
hram777 [196]

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

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8 0
2 years ago
What is the answer to 2/3 - 7/15=
elixir [45]

Answer:

1/5

Step-by-step explanation:

2/3 - 7/15

Now when dealing with fractions, alas make the dominator ( bottom number the same), and the rule of thumb is, whatever u do to the bottom, must be done to the top

2 7

-------- - - - - - -

3 15

So now u should think, how to make 3 to 15, so u multiply it by 5, therefore u would also need to multiply it to the top

2 x 5 7

-------- - - - - - -

3 x 5 15

10 7

-------- - - - - - -

15 15

Now just minus horizontally ( u don't need to minus the dominator)

3

---------

15

Now can u make this fraction smaller? As in, is there a number that u can divide to the top and bottom, yes, that number is 3 in this case

3 ÷3

---------

15 ÷3

= 1

- - - - -

5

Thats your final answer

7 0
3 years ago
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