Question

1. Find the value of k , when x2-kx+7 is divided by (x+2) 2. Express 0.4323232… in the form , where p and q are integers and q ≠ 0. 3. Look at several examples of rational numbers in the form of p/q, where p and q are integers and q≠0 with no common factors other than 1 and having terminating decimal representation. Can you what property q must satisfy? 4. If x + y = 12 and xy = 32, Find the value of x2 + y2. 5. If the supplement of an angle is three times its complement, find the angle. 6. An angle is 140 more than its complementary angle. What is its measure? plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz solve this

Answer 1

Step-by-step explanation:

(1) let x = 0.43232...... 1

100x = 43.23232..... 2

[ multiply x by 100 as only two numbers are repeating [

equation 2 - 1

100x = 43.23232

x = 0.43232

-----------------------

99x = 42.8

therefore x = 42.8/99

as both numerator and denominator have to be integers, multiply by 10 to get rid of decimal

=> x = 42.8/99 × 10/10

=> x = 428/990 = 214/495 => p/q form q ≠ 0

(2) x + y = 12 and xy = 32 find x² + y²

=> (x + y)² = 12²

=> x² + y² + 2xy = 144

=> x² + y² + 2×32 = 144

=> x² + y² + 64 = 144

=> x² + y² =144 - 64

=> x² + y² = 80