Answer:

Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:

2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form
then its conjugate
. is also a root of this polynomial.
Therefore

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

Answer:
Step-by-step explanation:
1. A car requires 22 litres of petrol to travel a distance of 259.6 km
what is the distance that the car can travel on 63 ltr of petrol
22ltr = 259.6km
63ltr=
cross multiply
{63 x 259.6}/22 = 16354.8/22 = 743.4 km
A car requires 22 litres of petrol to travel a distance of 259.6 km, it would require 63 ltr of petrol to travel 743.4km
2. To travel a distance of 2013.2 km
we would need to calculate the amount of fuel
A car requires 22 litres of petrol to travel a distance of 259.6 km
what amount of fuel would it require to travel 2013.2km
22ltr = 259.6km
xltr = 2013.2km
x is the value of petrol to cover 2013.2km
cross multiply
(2013.2 x 22)/259.6
44290.4/259.6 = 170.610169492≈170.6 ltr
A car requires 22 litres of petrol to travel a distance of 259.6 km, it would require 170.6 ltr of petrol to travel 2013.2km
if 1ltr is $1.99
170.6 ltr is (170.6 x 1.99)/1 = $339.494≈$339.5
The price of fuel consumed for 2013.2 km at 1 liter of petrol at $1.99 is $339.5
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,

Also, he drove his car from his home to New York at the rate of 45 mph,
⇒ 
And, returned over the same road at the rate of 40 mph.
⇒ 
According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the total distance from home to New York = x miles = 360 miles
⇒ 

⇒ 

Answer:
Step-by-step explanation:
15% = 15/100 = .15
250 x .15 = 37.5
Answer:

Step-by-step explanation:
We need to find the distance between two points i.e. (−5,−1) and (−3,−8).
It can be calculated using distance formula as follows :

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8
Put all the values,

So, the distance between the points is equal to 