That flat horizontal line has zero slope. There's no change in y for every unit change in x.
Answer:
1) Standardization
2). 1:1.25
3) 4cm
Step-by-step explanation:
The manipulation of scale variables to ensure comparability with other scales and enable comparisons to be made.
1:x = 9.6:12
x= 1: 1.25
9.6/12 = AC/5
AC= (5*9.6)/12
AC= 48/12
AC= 4cm
200
If the number is divisible by 5, then the last digit should be either 5 or 0.
First digit is fixed.
Second digit can be 10 ways.
Third digit can be 10 ways.
Fourth digit can be 2 ways.
So total number of digits 1 x 10 x 10 x 2 = 200
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:



We relate to: 
From the question;
l = 34,
So to find
, we get;




d = 33.46
So, we have:




Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
<h3>a) </h3>
7² = 49 square tiles are needed for pattern number 7.
__
<h3>b)</h3>
4(20+1) = 84 circular tiles are needed for pattern number 20.
__
<h3>c) </h3>
The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)