If the product is: [(x+1) (x-1)]^2 , the answer is:
[(x+1) (x-1)]^2 = [x^2-1]^2 = x^4-2x^2+1
Answer:
The perimeter of the figure is 111.46 units
Step-by-step explanation:
Given:
RS = 43
LS = 18√2
A right Triangle is attached to a Rectangle.
A right Triangle is having measure angle 45° , 90°
and Hypotenuse = 18√2
∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}
∴ the right angled triangle is an Isosceles triangle.
∴ Two sides are equal LT = TS
To Find:
Perimeter of figure = ?
Solution:
we have
we Know sin 45 = 1/√2
∴ 
Now ,
ARTL is a Rectangle
∴ opposite side of a rectangle are equal
∴ LT = AR = 18 unit
and AL = RT
But,
RT = RS - TS
= 43 - 18
25
∴ AL = RT = 25
∴ Perimeter of figure = AL + LS + RS + AR
= 25 + 18√2 + 43 + 18
= 86 + 18√2
= 111.455
= 111.46 units
∴ Perimeter of figure = 111.46 units
As we know that the sum of two sides of a triangle is greater than the third side ...
Option A is correct because 4+5=9>8
Option B is correct because 9+12=21>15
Option C is correct because 12+5=17>13
Hope it helps.....
9514 1404 393
Answer:
3
Step-by-step explanation:
Let x represent the number. The problem statement tells you ...
2/3(3x +6) = 10
2x +4 = 10 . . . . . . use the distributive property
x +2 = 5 . . . . . . . . divide by 2
x = 3 . . . . . . . . . . .subtract 3
The number is 3.
__
<em>Comment on the solution</em>
The above shows an "alternative" solution method. The more usual way this might be done is ...
2(3x +6) = 30 . . . . . multiply by 3 to clear fractions
6x +12 = 30 . . . . . . . eliminate parentheses
6x = 18 . . . . . . . . . . . subtract 12
x = 3 . . . . . . . . . . . . divide by 6
Answer:
4-2(16)+4
Step-by-step explanation:
