Step-by-step explanation:
x2 - x - 6 = 0
x2 - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
x - 3 = 0. x + 2 = 0
x = 3 x = - 2
Option no 2 and 5 are the correct answer
Answer:
$42.26
Tom spent more on tax ($1.54 vs his cousin's $0.72)
Step-by-step explanation:
Tom: $22 x 1.07 = $23.54
tax spent = 22 x 0.07 = $1.54
Cousin: $18 x 1.04 = $18.72
tax spent = 18 x 0.04 = $0.72
Total= $23.54 + $18.72 = $42.26
First you need to change the equation to 3 < x/2 + 1
then we can treat it like a normal equation.
subtract 1 from each side to get 2 < x/2
then multiply both sides by 2 to get rid of the fraction and we have
4 < x and we switch it around to get
x > 4 as our answer! :)
Answer:
CD = 3 -√3
Step-by-step explanation:
The ratio of leg lengths in a 30°-60°-90° triangle is ...
1 : √3 : 2
The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.
AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3
That is ...
AB = √3
BD = 3
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The lengths of the legs in isosceles right triangle ABC are the same, so ...
BC = AB = √3
Then the length of interest is ...
CD = BD -BC
CD = 3 -√3 . . . . . . . a=3, b=-1
