The equation that represents the relationship between step number and the number of dots is 
.
Solution:
Let the number of dots be y.
Step number 0: Number of dots = 1
y = 1
Using exponential rule: 
Step number 1: Number of dots = 5
y = 5
Step number 2: Number of dots = 25
y = 25
Step number 3: Number of dots = 125
y = 125
Note that in step number 0 the power is 0, 1st step power of 5 is 1, 2nd step power of 5 is 2 and the third step power of 5 is 3.
If the process goes on up to n steps, then power of 5 is n.
∴ Step number n:
Number of dots = 
.
Hence the equation that represents the relationship between step number and the number of dots is .
Answer:
<h2><em><u>Option</u></em><em><u>:</u></em><em><u> </u></em><em><u>D</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
7,625,750,263
<em><u>When</u></em><em><u> </u></em><em><u>estimated</u></em><em><u>, </u></em>
8,000,000,000
= 8 × 1,000,000,000
Answer:
-4
Step-by-step explanation:
The form of a liner equation is y=mx+b. b is 0 in this example. So we are left with y=-4x
-4 is the m, the slope. It is also called the unit rate of change. It tells us how much y changes for each 1x unit.
y x
0 0
-4 1 One unit changes y by -4 : The unit rate of change.
-8 2
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
Answer:
(x +3)^2 + (y -3)^2 = 3^2
Step-by-step explanation:
Your first task is to find the center.
The longest possible line of the circle goes from (-3,0) to (-3,6)
So the center is at the midpoint of these two points.
The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)
That gives you the center of the circle.
So far what you have is
(x +3)^2 + (y -3)^2 = r^2
Now the distance of the center to the bottom point is (-3,3) to (-3,0)
r^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = - 3
x1 = - 3
y2 = 3
y1 = 0
r^2 = (-3 - -3)^2 + (3 - 0)^2
r^2 = 3^2
The entire answer is
(x +3)^2 + (y -3)^2 = 3^2
