1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OlgaM077 [116]
2 years ago
6

A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance f

rom one end and y is the height above the ground, measured in meters.
A. What is the lowest point of the hammock?
B. If the hammock is attached to both trees at the same height, how far away are the trees from one another?​
Mathematics
1 answer:
34kurt2 years ago
4 0

Answer:

A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

Therefore, we have;

A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.

You might be interested in
Each square below represents one whole<br> What percent is represented by the shaded area?
Goryan [66]

Step-by-step explanation:

Both squares are 50% = 100% in total.

1 square= 50%

1/2 of a square= 25%

50+25= 75% I think i'm pretty sure that's the answer.

8 0
3 years ago
Read 2 more answers
I need help. Can someine pkease help me? N+2=13
Dvinal [7]
N + 2 = 13
   -2        -2
n = 11

I hope this helps!
7 0
3 years ago
The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b
Oksi-84 [34.3K]
9:12=\frac{9}{12}=\frac{9:3}{12:3}=\boxed{\frac{3}{4}}\leftarrow\boxed{d.}
7 0
3 years ago
Read 2 more answers
Which value is a solution of the equation x2 (squared) = 49?
Talja [164]

Answer:

24.5

Step-by-step explanation:

If you multiply 2 and 24.5 together you would get 49

8 0
3 years ago
Read 2 more answers
A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x a
Nesterboy [21]

Answer:

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A farmer finds that if she plants 60 trees per acre, each tree will yield 45 bushels of fruit. she estimates that for each addit
    6·1 answer
  • Write the expression 3*3*3*3*3 in exponential notation
    15·2 answers
  • How do you find the length of a circle in geometry?
    15·2 answers
  • If 4 out of 25 phone chargers in a box are defective, what is the probability of picking out 2 of them and getting 2 defective c
    5·1 answer
  • Casey has 48 red peppers and 16 yellow peppers. If Casey wants to put the peppers into baskets so that each basket has the same
    6·1 answer
  • Round 5,784 to the nearest ten
    5·1 answer
  • If you take away 700 animals from 20 animals how many animals are left?
    6·2 answers
  • Find the value of x that makes mll n.<br> 150°<br> (3x-15)
    10·1 answer
  • Which represents an exterior angle of triangle XYZ?
    5·2 answers
  • Can someone help me with this problem from Khan Academy?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!