Answer:
See attached diagram
Step-by-step explanation:
You are given the equation of hyperbola
From this equation,
- the center of hyperbola is at point (1,-3);
- the real semi-axes
- the imaginary semi-axes
Draw two parallel lines x=1 and y=-3 (they intersect at the center of hyperbola), then on horizontal line match two hyperbola's vertices (7 units to the left and 7 units to the right from the center). Then draw two branches of hyperbola (one in negative direction and one in positive direction).
Answer:
≈ 397 m
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let h represent the height of the balloon above ground, then
h² + 50² = 400², that is
h² + 2500 = 160000 ( subtract 2500 from both sides )
h² = 157500 ( take the square root of both sides )
h ≈ 397 m ( to the nearest metre )
Answer:
34
Step-by-step explanation:
from straight line
(x+12) + 100 + x = 180
2x + 112 = 180
2x = 180 – 112 = 68
x = 34
Answer:
A line a and line b
Step-by-step explanation:
Lines b and c are parallel (no intersection points), so the system will have no solutions.
Lines b and d are parallel (no intersection points), so the system will have no solutions.
Lines c and d coincide (infinitely many intersection points), so the system will have infinitely many solutions.
Lines a and b will intersect after extension, so the system of these two equations will have only one solution.
