Answer:
No, 55 and 101 are not multiples of 2, 3 and 9
Step-by-step explanation:
Answer: The width is 14m
Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.
So we have,
Perimeter = 60
Length = W + 2 and
Width = W
Already the perimeter is given as
Perimeter = 2(L + W)
We can now express the perimeter as follows;
60 = 2(W + 2 + W)
60 = 2(2 + 2W)
By cross multiplication we now have
60/2 = 2 + 2W
30 = 2 + 2W
Subtract 2 from both sides of the equation
28 = 2W
Divide both sides of the equation by 2
14 = W.
Remember that the length is given as W + 2, so the length becomes
14 + 2 = 16
Therefore, the width equals 14 m.
Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
