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
eimsori [14]
2 years ago
11

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

ance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?
Mathematics
1 answer:
Aneli [31]2 years ago
8 0

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

You might be interested in
Solve for x:
elixir [45]
I’m going to say multiply both sides by a which gives you:

a^2-ab-a=2

If not give me a call
4 0
3 years ago
I need help solving this problem
Pepsi [2]
Skjdirbrowosicjvocosd
3 0
2 years ago
Retha Davidson works for a word processing center keying straight copy.
Nataliya [291]

Using proportions, it is found that:

  • In an 8-hour day, she keys 48 pages.
  • For a day, her gross earnings are of $72.
  • For a week, her gross earnings are of 72 x 7 = $504.

<h3>Proportions:</h3>

This question is solved using the proportions given, which are:

  • Payment of $1.50 per page of 30 lines.
  • Retha keys 6 pages per hour.

Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.

Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.

Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.

To learn more about proportions, you can take a look at brainly.com/question/24372153

5 0
2 years ago
Find the area and perimeter.<br> The area is ... and the perimeter is ...
Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

7 0
3 years ago
Solve X + 5 + 6x = 180. What are the steps?
Elenna [48]

Answer:

x=25

Step-by-step explanation:

x+5+6x=180

7x+5=180

7x=175

x=25

3 0
2 years ago
Other questions:
  • A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar
    10·1 answer
  • A number is k units to the left of 0. What's the location on a number line
    7·1 answer
  • Evaluate the expression when a = 3.
    10·2 answers
  • A bicycle is drawn on a grid such that the front tire is represented by the equation (x-16)^2+y^2=9 what is the tire's diameter?
    9·1 answer
  • The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare
    15·1 answer
  • Laura decides to walk to her job. She walks 1 1/2 miles in 3/5 hour. What is Laura’s walking rate? Laura Job is 4 1/2 Miles away
    15·2 answers
  • Please answer correctly
    15·1 answer
  • Please help me with this problem :) <br> show ur work please
    7·1 answer
  • Help me please. either one is fine.
    15·1 answer
  • What is 80 divided by 7640
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!