What angels? You need to show a picture :)
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.
Answer:
2x² + 
x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 
- 2 + 2x² + x - 3 ← collect like terms
= 2x² + x - 5
Answer and Step-by-step explanation:
Distance is the numerical measurement to find the space or interval between two objects. Distance also refers to physical length. Point x to point y distance is denoted as |xy|
There are many ways to find out the distance, distance between two objects or two points. The efficient way of finding the distance between two points is given below. Mathematically, the distance between two points on a coordinate plane can be determined by using the distance formula, which is:
d =√((x2-x1)2+(y2-y1)2),
Where (x1, y1) and (x2, y2) coordinates, and d is the distance.
The middle point between these two points is known as midpoint and can find out by using the formula
Midpoint = a + b /2.
The distance between two points number line can also be calculated by using the formula:
AB =|b –a| or |a-b|.
Answer:
1551 Yes voters
Step-by-step explanation:
Yes : No
3 : 5
total = 4136
add up both no and yes :3+5 =8
8 will be the total ratio of voters
Yes
3/8 × 4136
= 0.375 × 4136
= 1551 Yes Votes
