<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
12.6 repeating is the equivalent of 12.666666666666 and so on but if you rounded, it would be 12.67. So, compare 12.67 and 12.63. 12.67 is larger.
The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: 
The page dimension is:
The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square
The margin of 0.75 on either sided means the usable dimension is:
The dimension of India is:
The longest side in India's dimension is:
From Uche's book, the longest dimension is:
So, the scale equation is:
k * longest length of Uche's book = longest side of India
This gives:
Read more about scale ratio at:
brainly.com/question/16192120
Answer:
let the breadth of room be 'x'm
so the lenghth of room is 'x+8'm
Given
Area of room=48m²
i.e length ×breadth =48m²
or,(x+8)x=48
or,x²+8x-48=0
or,x²+12x-4x-48=0
or,x(x+12)-4(x+12)=0
or,(x+12)(x-4)=0
Either x+12=0
or,x=-12(which is not possible)
Or,x-4=0
or,x=4
Thus,breadth is 4m.
length=x+8=4+8=12m
The dimensions of room are 8m and 12m respectively.
