Question: The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C

The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x 2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

Step by Step Solution

★★★★★

3.51 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A right circular cone is inscribed inside a larger right circular cone with a volume of 150 cm 3 . The axes of the cones coincide and the vertex of the inner cone touches the center of the base of...

Consider the right triangle ABC as shown in Figure 7. Point A1 is determined by drawing a perpendicular to line AB through C; B1 is formed by drawing a line parallel to AC through A1. This process is...

A right triangle ABC is given with b

The property is located at the intersection of two heavily traveled major arteries. It is a new, glass-walled, five-story office building containing 50,000 total square feet-40,000 of which is...

Provide an example of a transaction that creates the described effects for the separate cases a through g. a. Decreases an asset and decreases equity. b. Increases an asset and increases a liability....

What is a data warehouse? What does the term big data mean?

6. How is Marcuss response to Mr. Bonner an example of selfregulated learning?

Alisha Incorporated manufactures medical stints for use in heart bypass surgery. Based on past experience, Alisha has found that its total maintenance costs can be represented by the following...

define the function for the length of a list in lambda calculus using the y combinator then show the reduction if the length is 3

In February of 2023, during the preparation of Julia's 2022 return, you explained to her the options for using either the section 179 deduction or special depreciation for the purchases of her 2022...

What is game theory, and how do businesses use games? In your Managerial Economics textbook, we consider a sequential-move game in which an entrant is considering entering an industry in competition...

Please give me a heads up on - "I really like this work and the people at Glass Top Restaurant" said Joe, a server. "But I think I could do more if I had the chance!" "Well," repliedBino, a cook, "We...

Forces of 18 pounds and 9 pounds act on each other with an angle of 161. Round the magnitude to 4 decimal places and the angles to one decimal place. The magnitude of the resultant force 9.93237...

Time left 1:11:34 Last season, Fairfield Farms sold strawberries as follows: 1501 boxes at $1.51 per pound in the early part of the season; 3598 boxes at $1.49 per pound at the height of the season;...

An object produced by some kind of machine turns out to be 10% defective. 10 items were taken randomly from the production for investigation. What is the probability that the object under...

According to Andy Challenger, senior vice president of outplacement firm ChallengerGray & Christmas, approximately how many job cuts haver companies attributed to Al since last May?

Create a complete C++ program that prints a hotel bill. The program shall prompt the user for some numerical values, read in those values, include those values when calculating results, and then...

What can scientists learn by comparing the fossilized skeletons of extinct primates with the bones of modern species?

A dead body is found at 10p.m. to have temperature 82oF. One hour later the temperature was 76oF. The temperature of the room was constant 70oF. Assuming the temperature of the body was 98.6oF when...

In Problems 9-12, use the total differential dz to approximate the change in z as (x, y) moves from P to Q. Then use a calculator to find the corresponding exact change (z (to the accuracy of your...

A tank initially contains 200 gallons of brain, with 50 pounds of salt in solution. Brine containing 2 pounds of salt per gallon is entering the tank at the rate of 4 gallons per minute and is...

A stubborn, 120 kg mule sits down and refuses to move. To drag the mule to the barn, the exasperated farmer ties a rope around the mule and pulls with his maximum force of 800 N. The coefficients of...

Zach, whose mass is 80 kg, is in an elevator descending at 10 m/s. The elevator takes 3.0 s to brake to a stop at the first floor. a. What is Zachs weight before the elevator starts braking? b. What...

Bob is pulling a 30 kg filing cabinet with a force of 200 N, but the filing cabinet refuses to move. The coefficient of static friction between the filing cabinet and the floor is 0.80. What is the...