Answer:
the lines of the graph are perpendicular.
-5x-5<25
-5x<30
-x<6
x>-6
Anything that is -6 or smaller is not a solution.
Hope this helps :)
Hello :
<span>the sequence.
a(1) =2, a(n+1) =a(n) + 3 is arithmetique (common ratio : 3)
</span><span> the first five terms are : 2,5,8,11,14</span>
<span>5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x
step1:- 5x - 20 + 3x - 9x = 6 - 2x - 5 + 8x
step2:- 5x + 3x - 9x - 20 = 8x - 2x + 6 - 5
-x - 20 = 6x + 1
stp 3
-20 = 7x + 1
step 4
-21 = 7x
divide both sides by 7:-
-3 = x
thats the solution x = -3
</span>
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
