Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Answer:
5/6
Step-by-step explanation:
0.41/1.33=0.3125=5/6
Answer:
!!!
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
To solve this problem, we need to simplify the expression 
.
We know that 
Therefore:
.
Answer:
x² + x = 42
Step-by-step explanation:
Let the number be x then the square of this number is x²
Sum and equate to 42, that is
x² + x = 42
