Answer:
Step-by-step explanation:
You can start this in may ways but let's start by isolating one of the parenthesis:
x (x² - 5) = - (x - 3)
x³ - 5x = -x + 3 (here I multiplied x for what's inside the parenthesis and the "minus" signal by the other parenthesis which was (x - 3))
x³ - 5x + x = 3
x³ -4x = 3
x³ -4x -3 = 0 (now this right here is a "depressed cubic equation" and it's one of the toughest sit of all time, so good luck with that, you might wanna take a look at this:
ytb/watch?v=rNDy2ZFvG1E
or maybe I'm doing something wrong and it's simpler than that, but whaterver...)
Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
</span>
Answer:
22
Step-by-step explanation:
The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B
area of recntangle = bh
Rect A:
b = 5
h = 4 - 2
h = 2
bh = 5 x 2
bh = 10
Rect B:
b = 3
h = 4
bh = 4 X 3
bh = 12
Total = 10 + 12
Total = 22