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 = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

Why did kings of France, England, and Spain urge exploration and settlement of the New World? what is the relationship between 0.7 and 0.07 In "Beethoven's Moonlight Sonata," which line is an example of a detail the author added for dramatic interest? A."It happened at Bonn." B."We can scarcely pay our rent." C."And I was not mistaken." D."Beethoven looked at me." Identify the correct order in which breast cancer develops. What is a1 in the sequence?4,2,12,14,...4 2 12 14 Which grouping has the least complex body plan? If you were on a research expedition in the kingdom of Tonga, a coral atoll in the South Pacic, would you nd these organisms? Dagney read 120 pages in three hours. Write two rates implied by the statement. How long would it take Dagney to read a 560 page novel at the same rate? 18 players and 3 coaches. this year, 162 players signed up to play soccer. how many coaches are needed? Ann picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5 How many different 4-digit numbers could she pick? why did king solomon build a great temple in jerusalem? linear differential equation question:y"'-6y"+12y' -8y = 0 Calculate the surface area, volume, and ratio of surface area to volume of an imaginary cubic cell measuring 4 cm on each side. In chapter 6 of Wuthering Heights, whose description of Thrushcross Grange does Nelly report?A. Catherines B. HeathcliffsC. HindleysD. IsabellasE. Edgars Communicating with people you know or meet to share information or advice about a job defines _____. Upvote Jade and five friends had three oranges they shared the oranges equally how much of an orange did Jade and her friends each get Can you verify my answer?I believe it's reflection. Humor should never be used in a presentation as it will distract your audience. A.True B.False Bends are made in pvc conduit using a tool known as a a. hand bender. b. hydraulic bender. c. heater box. d. mechanical bender. write the negation of the statement: No vans have three wheels