Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
PART A
The geometric sequence is defined by the equation
To find the first three terms, we put n=1,2,3
When n=1,
When n=2,
When n=3
The first three terms are,
PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,
PART C
To find
We substitute n=11 into the equation of the geometric sequence.
This implies that,
Answer:
Linear Proportional Relationship
General Formulas and Concepts:
<u>Algebra I</u>
- Linear - Any degree of 1 in the form of y = mx + b or Ax + By = C
- Nonlinear - Any degree higher than 1
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x + 3
<u>Step 2: Identify</u>
We see we have a linear equation in y = mx + b. We can also see that it is a degree of 1. Therefore, it is a Linear proportional relationship.
10 is not a perfect square however 100 is. This is because a square is defined as numbers that are the product of another whole number when multiplied by itself. So, 10x10=100, making 100 a perfect square. However, no number multiplied by itself equals 10, meaning 10 is NOT a perfect square.
Answer:
Step-by-step explanation:
In the multiple you add the power and in the ÷ ye substract the power as in firts one it is 4 power 3+9
