Question
Describe how to sketch the fourth figure in the pattern. Then
sketch the fourth figure.
Hint:
Figure out the pattern from the picture provided.
The correct answer is: part is shaded which can be denoted as 1 over 16 equals 1 over 2 to the power of 4 . It would look like,
Complete step by step solution:
Starting from the left,
Consider a quadrilateral,
In the first figure, a quadrilateral is divided into 2 equal parts and one part is shaded
which can be denoted as 
In the next figure, the quadrilateral is divided into 4 equal parts and one part is
shaded which can be denoted as 
In the next figure, the quadrilateral is divided into 8 equal parts and one part is
shaded which can be denoted as 
So, the sequence we get is 
, and next term would be 
Next figure would be, the quadrilateral is divided into 16 equal parts and one
part is shaded which can be denoted as 
.
It would look like,
Related Questions to study
Choose the synonym for "prefix”
Choose the synonym for "prefix”
Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real world situation? Explain.
Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real world situation? Explain.
A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.
a) Write a function that relates the distance travelled ,d to the time, .
b) Graph the function and tell whether it is a linear function or non linear function.
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.
a) Write a function that relates the distance travelled ,d to the time, .
b) Graph the function and tell whether it is a linear function or non linear function.
There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.
Do the ordered pairs plotted in the graph below represents a function? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Do the ordered pairs plotted in the graph below represents a function? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
, write an equation for a line that does not intersect the parabola.
