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
brilliants [131]
4 years ago
9

In order to successfully perform a trick, a flying trapeze artist must swing along a parabolic path that is equidistant from the

floor and the pivot point where the trapeze rope is attached.The rope is attached to the ceiling 8 feet out and 16 feet above her starting point and the floor is 8 feet below her starting point. Find the vertex of this parabola using the focus of (8,16) and directrix at y = -8.
Mathematics
1 answer:
Aliun [14]4 years ago
6 0
<span>Given that the directrix of the parabola is at y = -8 and the focus is at point (8, 16), this means that the parabola opens upwards and the x part of the equation of the parabola is squared. The x-value of the vertex of a parabola is the same as the x-value of the focus while the y-value of the vertex is half the sum of y-values of the focus and the directrix. Therefore, the vertex of the given parabola is (8, (16 - 8)/2) = (8, 8/2) = (8, 4).</span>
You might be interested in
Ryan Katie and Mike are roommates. They need to pay an electric bill. The bill is $155.52 The billing cycle is from nov23-dec23.
rusak2 [61]

Answer: Step-by-step explanation:

if I am correct.. Katie is gonna be paying $77.76. Meanwhile, Mike and Ryan are paying $38.88

half of 155.52 = 77.76

half of 77.76 = 38.88

$77.76 + $33.88 + $38.88 = $155.52

7 0
3 years ago
A pencil is 7 1/2 inches long. How long is the pencil in centimeters?
svetoff [14.1K]
The pencil is 19.05 centimeters.
7 0
2 years ago
15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Anni [7]

Answer:

4(x + 3) / 4x + 12

Step-by-step explanation:

the image linked is showing 4 green whihc means 4x and 12 squares so I multiply 4 x 3 whihc is 12

6 0
3 years ago
A submarine is 105 ft below the surface of the water, and it begins to ascend at a rate of 3 ft per min. After how many min will
guapka [62]

Answer:

7 2/3 minutes

Step-by-step explanation:

We can write this equation in y = mx+b form

where m = 3 ft/min and b = -105 ft  

x is the number of minutes and y is the depth

y = 3 * x -105

We want to find when y = -82

-82 = 3x -105

Add 105 to each side

-82+105 = 3x-105+105

23=3x

Divide by 3

23/3 = 3x/3

23/3=x

Changing into a mixed number

3 goes into 23  7 times with 2 left over

7 2/3 minutes

4 0
3 years ago
What algebraic rule did you use to preform this<br> translation????
Law Incorporation [45]

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a

new shape (called the image). A translation is a type of transformation that moves each point in a figure the same

distance in the same direction. Translations are often referred to as slides. You can describe a translation using words

like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.

1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.

2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and

y coordinates are translated to x−7 and y+5.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the value of S4 for
    6·1 answer
  • Help me please I am so confused with this question!?!?!?!
    14·2 answers
  • Find the x and y-intercepts of the equation 6x-2y+12=0
    12·1 answer
  • Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe
    11·1 answer
  • Sophia's teacher is talking to the class about net worth. What does it mean for someone to have positive net worth?
    5·1 answer
  • Subtract<br> (3x² + 7) – (3x - 2)
    9·2 answers
  • What is the same about intersecting lines,perpendicular lines,and parallel lines
    15·1 answer
  • -12x - 12y = 4 3x + 3y = 0
    9·1 answer
  • Using the trend of the data the graph to predict how many tickets would be sold at week 25?
    12·2 answers
  • What is the equation of the line that passes through (-2, 4) and (4, 5)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!