Answer:
i. Time = 2 hours.
ii. Average speed for the whole journey = 25 km/h
Step-by-step explanation:
Distance from Antville to Beetleton = 60 km
Mr. Caterpillar's speed = 30 km/h
Speed = 
⇒ time = 
= 
= 2
time = 2 hours
It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.
On his return journey, his average speed is 20 km/h. Therefore;
average speed for the whole journey = 
= 
= 25
average speed for the whole journey = 25 km/h
Answer:
Given information: WY=ZX, A is the midpoint of WY and A is the midpoint of ZX.
To prove : WA =ZA
Proof:
A is the midpoint of WY, it means A divides WY in two equal parts.
So, WY is twice of WA.
.... (1)
A is the midpoint of ZX, it means A divides ZX in two equal parts.
So, ZX is twice of ZA.
... (2)
(Given)
Substitute the values from equation (1) and (2).
Divide both sides by 2.
Hence proved.
Answer:
Step-by-step explanation:
Given
See attachment for her sketch
Required
Which equation do not represent the perimeter
From the attached sketch:
--- Length
--- Width
Perimeter (P) is calculated as:
This gives:
---- This represents (A)
Open bracket
---- This represents (B)
In algebra:
means 
So, the expression becomes
--- This represents (D)
<em>This implies that (C) does not represent the perimeter</em>
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
I think the answer would be 4n
