arshia3bansal

By definition a > b for a, b € R if a - b > 0. Why is
the statement "(a > b) => (da > db) for all real numbers a, b, d' false?

Shade the set of points (, y) in the Cartesian plane,
which satisfy « - 2 < 0.5 and y - 1 < 0.3.

Question 5. (15 marks) Consider the set of all real numbers r such that
-00 < r ≤ -1.
(a) Is this set bounded?
(b) Give two different upper bounds.
(c) Find the supremum of this set.
Justify your answers.

Question 2: algebra

Q2. Let be the 2n x 2n matrix whose (i, j)th entry is given by 

(a) Write down A_1 and A_2.

(b) Determine det () for all n 1. Justify your answer.

(c) Based on your answer to part (b), determine all values of n 1 for which is invertible. Justify your answer.

Use proportions to solve X

Express in simplest radical form

In right triangle DEF, angle E is a right angle, DE = 8, and EF = 6. What is the length of DE? 

In right triangle ABC, angle C is a right angle, AC = 12, and BC = 5. What is the length of AB? 

In the right triangles shown, the measure of angle HFI is the same as the measure of angle JGH. What is the length of side GH? 

Which conclusion does the proportion support?

Complete the prof by providing the correct statement or reason

Complete the proof by providing the correct statement or reason

Complete the proof by providing the correct statement or reason 

In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and  ≅ . Is this information sufficient to prove triangles GHI and RST congruent through SSS? Explain your answer.

6. The Ferris wheel turns clockwise. Lorelai is sitting in cart L and Darren is in cart D.

a. How many degrees does the wheel have to turn for Lorelai to be in Darren’s

current position? How do you know?

b. How many degrees does the Ferris wheel have to turn for Darren to be in Lorelai’s current position? How do you know?

What is neutron 

DE is tangent to circle P at point E. Find the measure of <DPE.note the figure may not be drown to scale

DE is tangent to circle P at point E. Find the measure of L D PE. Note the figure may not be drawn to scale.