Given pair of lines are x² + 4xy + y² = 0
⇒ (y/x) ² + 4 y/x + 1 = 0
⇒ y/x = -4±2√3/2 = -2±√3,
∴ The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle
Clearly the pair of lines x² + 4xy +y² = 0 intersect at origin,
The perpendicular distance form origin to x - y = 4 is the height of the
h = 2 √ 2
∵ Area of triangle = h²/√3 = 8/√3
Answer:
79.2135
Step-by-step explanation:
5.34 - 2.52 = 2.82
2.82 divided by 0.0356 = 79.2135
I got 6 units^2. So the answer is the second choice. ab/2 = 3*4/2 = 6.
X = 7
Is a vertical line that passes through (7,-3).
Answer:
[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] Joe will complete 2 laps
[C] Charmaine will complete 3 laps.
Step-by-step explanation:
Factor two numbers 12 and 8:
12 = 2×2×3
8 = 2×2×2
Find LCM of 12 and 8:
Lcm of 12 and 8 - 2×2×3×2 = 24
Therefore,
[A] How much time does it take for them to meet again at the starting line?
It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] How many laps does Joe complete
Joe will complete 2 laps
[C] How many laps does Charmaine complete?
Charmaine will complete 3 laps.
<u>~lenvy~</u>
