Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5
1 answer:
9514 1404 393
Answer:
(a) (-2, 4)
Step-by-step explanation:
The orthocenter is the point of concurrence of the altitudes of the triangle.
A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.
__
Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:
a (-2, 4)
You might be interested in
Answer and explanation:
(x + 6)(x + 7)
List the multiples of 42
42: 1 2 3 6 7 14 21 42
Then see which of the multiples add up to 13
1 x 42 = 42 --> 1 + 42 13
2 x 21 = 42 --> 2 + 21 13
3 x 14 = 42 --> 3 + 14 13
6 x 7 = 42 --> 6 + 7 = 13
The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:
The actual distance between the store and the dungeon is 4 kilometers.
This means that:
So, we have:
Represent the required actual distance with x.
So, we have:
Express as fraction
Multiply both sides by 17
Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at: