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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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Artemon [7]

Answer:

so yea what was the answer again

Step-by-step explanation:

6 0
3 years ago
Can someone help me with this please? Thank you!
Finger [1]

Answer:

528 cm²

Step-by-step explanation:

First I would calculate the area of the side rectangles:

20 x 9 = 180 cm²

There are two identical rectangles on both sides so i would x2

180 x 2 = 360 cm²

The area of the middle rectangle:

6 x 20 = 120 cm²

The area of the triangles:

Area of a triangle = (Base x Height)/2

8 x 6 = 48

48 ÷ 2 = 24

There are two identical triangles on the bottom and the top so x2

24 x 2 = 48

Now add all the values up:

360 + 120 + 48 = 528 cm²

I hope this helps!

5 0
2 years ago
A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

3 0
2 years ago
A projectile is launched at an angle of 45 degrees with an initial speed of 32 feet per second. How far does the projectile trav
Hatshy [7]

Answer:

As the first part comes to the rest means, then it will fall under gravity directly.

First of all maximum height,

H=

g

u²sin²θ

H=

2×10

400×(

2

1

)

H=10m.

As initially the full projectile was supposed to land at A but due to explosion first part land at A', so to make the centre of mass lies at A the second part should lie at B.

f they don't break (explode) range OA

OA=

g

u²sin2θ

OA=400×sin45×

10

2

6 0
2 years ago
Please aswer this. Thank you!
mamaluj [8]

Answer:

4 pairs of sock and a little bit of left over change.

Step-by-step explanation:

24.95 + 5.95x = 50

-24.95                -24.95

5.95x=25.05

/5.95   /5.95

x = 4.21

We drop the 0.21 because you cant have 0.21 pairs of socks and we get:

x=4

6 0
2 years ago
Read 2 more answers
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