Question: In ABC, AB = (5 x) cm, BC = (4 + x) cm, ABC = 120 and AC = y cm. a. Show that

In △ABC, AB = (5 − x) cm, BC = (4 + x) cm, ∠ABC = 120° and AC = y cm.

a. Show that y2 = x2 − x + 61.

b. Use the method of completing the square to find the minimum value of y2, and give the value of x for which this occurs.

Step by Step Solution

★★★★★

3.38 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve this problem well use the given information and apply trigonometry and algebraic manipulati... View full answer

blur-text-image
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 Edexcel AS And A Level Mathematics Questions!

Q:

You wish to sell short 100 shares of XYZ Corporation stock. If the last two transactions were at $34.10 followed by $34. 15, you only can sell short on the next transaction at a price of a. 34.10 or...

Q:

In Problems 1-4, use the method of Lagrange multipliers to solve these problems from section 12.8 1. ((x, y) = 10 + x + y; S = {(x, y): x2 + y2 ( 1} 2. ((x, y) = x + y - xy; S = {(x, y): x2 + y2 ( 9}...

Q:

The method of completing the square is used several times in this text. It is a useful method for combining several quadratic and linear polynomials into a perfect square plus a constant. Prove the...

Q:

Use the method of Lagrange multipliers in Problems 7-16. Find the maximum and minimum of f(x, y) = x2 - y2 subject to x2 + y2 = 25.

Q:

In ABC, AB = (2 x) cm, BC = (x + 1) cm and ABC = 120. a. Show that AC 2 = x 2 x + 7. b. Find the value of x for which AC has a minimum value.

Q:

In ABC, AB = (x 3) cm, BC = (x + 3) cm, AC = 8 cm and BAC = 60. Use the cosine rule to find the value of x.

Q:

In ABC, AB = 5 cm and AC = 4 cm, ABC = ( 30) and ACB = ( + 30). Using the sine rule, show that tan = 3 3.

Q:

Which characteristic does not describe a point? has no dimensioncan change positions in spaceis named with one capital letternone of the above QUESTION 2 Which of the following is not the correct...

Q:

4/26/2016 Welcome to Lean Six Sigma Black Belt Virtual Class 9: Tuesday, April 26, 2016 Design of Experiments: Part 1 We are entering Week 9. It is suggested (not required) that during Week 9 the...

Q:

A typical multivitamin tablet can contain 1.00 mg of vitamin B2 (riboflavin), and the RDA is 0.0030 g/day. How many such tablets should a person take each day to get the proper amount of this...

Q:

I MODEL QUESTION PAPER PART 'A' GENERAL APTITUDE (logical reasoning, graphical analysis, analytical and numerical ability, quantitative comparisons, series formation, puzzles, etc.) I I 1. A sphere...

Q:

A 14 ft long W14 x 99 beam-column is part of a braced frame and there are transverse loads between the ends, and supports service load of Ps= 340 kips service moment Ms = 250 ft- kips about strong...

Q:

Identify ethical issues, conflicts of interest, and non-compliance with corporate policies and procedures in the Enron case.