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
Pepsi [2]
3 years ago
6

A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha

t are the dimensions of the rectangle with the maximum​ area? What is the​ area?
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer:

Dimensions of rectangle : Width = 2x , Length = 49 - x^2

Area of Rectangle = 98x - 2x^3

Step-by-step explanation:

A rectangle constructed with its base on the​ x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = (x,y)

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle :  2x

Length of rectangle :  y = 49 - x^2

Area of Rectangle = Length x Width

(2x) (49 - x^2)

= 98x - 2x^3

You might be interested in
Which expression is equivalent to (-4y - x) - (3y - 9x)
WINSTONCH [101]

Answer: -7y+8x

Step-by-step explanation: I assume you mean to simplify

Step 1: Remove parentheses : -4y - x - (3y - 9x)

Step 2: -(3y - 9x) = -3y + 9x

Step 3: Simplify: -4y - x - 3y +9x

Step 4: Answer: -7y+8x

4 0
3 years ago
Geometry math question no Guessing and Please show work thank you
ahrayia [7]
To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:
(number \: of \: sides - 2) \times 180
In this case,the equation would be:
(7-2)×180°
=5×180°
=900°

We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°

The interior angle of vertex E:

6x=6(25)=150°

Therefore,the interior angle of vertex E is 150°.

Hope it helps!
6 0
3 years ago
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find
Nezavi [6.7K]

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

 

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

5 0
3 years ago
At the arcade, Jamal had 6 tickets that he had saved from last time he went. This time he played the same game 7 times and earne
melomori [17]

Answer:

Jamal has 111 tickets.

Step-by-step explanation:

Start by knowing that he has 6 tickets he got previously, and then he gets 15 more tickets each time he played the game, which was 7 times.

7 x 15 + 6 = 111

6 0
3 years ago
Twenty people each had 36 carrots. How many carrots are there altogether?
elena-s [515]

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

25 times 36 is 900.

There are 900 carrots altogether.

7 0
2 years ago
Other questions:
  • Subtract polynomials:
    9·1 answer
  • resha earned $26 babysitting for 4 hours yesterday if she earns the same hourly rate how much will she earn for babysitting for
    7·2 answers
  • Solve – 7 = √ 2x – 9.
    9·2 answers
  • vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth ve
    9·1 answer
  • Describe the size of a pint as it relates to a quart using fractions
    9·2 answers
  • I need help on this and if you the first person to get it right i will give you BRANLIST​
    9·2 answers
  • Can anyone help answer all these questions
    6·1 answer
  • Solve system of equation by elimination:<br> 4x - y = 1<br> 3x + y = -1
    15·1 answer
  • Janelle spots some dolphins in the ocean. Her father draws a diagram to show how far down they can go. How far is this relative
    11·2 answers
  • What is the nth term for the quadratic sequence 4,9,16,25,36
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!