Answer:
82+54=136
180-136=44
x=44
y=z=180-44=136°
Step-by-step explanation:
Answer: 6 - 5
<u>Step-by-step explanation:</u>
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Answer:
width: 5.5 yd; length: 8 yd
Step-by-step explanation:
Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:
w(2w-3) = 44
2w^2 -3w -44 = 0 . . . . put the equation into standard form
(w+4)(2w -11) = 0 . . . . . factor the equation
w = -4 or 11/2 . . . . . . . . the negative solution is extraneous
Then the length is 2·(11/2) -3 = 8.
The width of the rectangle is 5.5 yards; the length is 8 yards.