1 Express the following in its simplest form 2 Express the f

1) Express the following in its simplest form.

2) Express the following in its simplest form.

Answer using the format Ax + B
A =  
B =

3) In DEF, mD = 40, DE = 12 meters, and DF = 8 meters. Find the area of DEF to the nearest length of a square meter.

4) In ABC, mA = 30, mB = 65, and BC = 10. Find AC to the nearest tenth.

5) In RST, sin T = 1/5, mR = 30, and r = 15. What is the length of t?

Please show work please and thank you!

Solution

1 ) ( x- (9/x) / ( 2 + 6/x)

take x as common denominator

( x^2 -9)/x / ( 2x +6)/x

(x^2 -9)/( 2x +6)

= ( x+3)(x-3)/(2(x+3)

= (x-3)/2

Comparing stad format A(x +B)/C

A = 1 ; B = -3 ; C = 2

2) ( x-1/x)/( 1 + 1/x)

Simplifiying: (x^2 -1)/x / (x+1)/x

(x^2 -1)/(x+1)

(x-1)(x+1)/(x+1)

(x-1)

Comapring standard format Ax+B

A = 1 ; B = -1