We see on the picture that :
When we go down one row, we add one horizontal and two diagonal cards.
In the first row we have 2 cards
In the second 2+3=5 cards
In the third 5+3=8 cards
etc.
General formula : in the n-th row from the top, we have
Area = length of base × altitude
34 = 8.5 × a
34 = 8.5a
a = 34/8.5
a = 4
The altitude of the corresponding side is 4 cm
Answer:
a. 15/2 or 7.5 sqcm
b. 20 sqcm
Step-by-step explanation:
Area of a triangle is (base × height)/2.
A = (5×3)/2
A = 15/2 = 7.5cm^2
The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.
Area = 4×5
Area = 20 sqcm
Answer:
The graph of
is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.
Step-by-step explanation:
When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.
And the vertically change between two values is also called the rise.
The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.
For example, consider the equation


Here fore every two units of x-values, one units are moved on the y-axis.
In other words, there is a change of only one unit on the y-axis for every two units of x-values.
The graph of
is also attached below which is showing this.
Answer:
There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).
Step-by-step explanation: