Answer:
Problem 1:
a. x=2
b. x=3
c. x=1
Problem 2:
A multiplication equation to hold the table true:
A division equation to hold the table true:
Step-by-step explanation:
Given in problem 1:
(a). The equation is 
It holds true for all values of 
.
Let us say 
,
which is greater than 1.
(b). The equation is 
It holds true for all values of 
.
Let us say 
which is less than 1.
(c). The equation is 
It holds true for only 
.
Let us say 
,
which is equal to 1.
Problem 2:
A multiplication equation to hold the table true:
A division equation to hold the table true:
Therefore these are the values which hold true to the equation in problem 1 and 2.
The perfect squares are 25, 36, 49, 64, 81, 100, 121, 144, 169. You know a number is a perfect square when there is a whole number that can be multiplied by itself to get the number. Example: 25= 5x5
Hope that helps if you need a better explanation let me know.
The area of the rectangle:
A = Length x Width = JK x KL = 36 cm²
If JK ≥ 4 cm, we have to prove that KL ≤ 9 cm.
Answer:
Assume that a. KL > 9 cm.
Then the area of rectangle JKLM is greater than b. 36 cm²,
which contradicts the given information that c. side is at least 4 cm long.
So the assumption must be false. Therefore, d. KL ≤ 9 cm.
Answer:
the original price of the cooker is £320 and David has been a deposit of 15% so find 15% of the original price and the deposit is £48
Answer:
This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.
The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm
The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm
*Radius is 4
Now add: 768 + 134.04 = 902.04 cm
