Answer:
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
Step-by-step explanation:
From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).
The slope of the line is
m= y2-y1/x2-x1 = 10-5/4-2 = 5/2
The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.
Since the rate of change (slope) is same for all points, therefore the table represents a linear function.
If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a linear function.
-6a -2b^4
^if you simplify, that would be your answer.
The answer would be the last option. :)
Answer:
20
Step-by-step explanation:
2, 5, 9, 14, ?, 27.
2,5 the number added is 3
5,9 the number added is 4
9,14 the number added is 5
14,20 the number added is 6
20 , 27 the number added is 7
We have two right triangles and three different rectangles.
The formula of an area of a right triangle:
l₁, l₂ - legs
We have l₁ = 20cm and l₂ = 21cm. Substitute:
The formula of an area of a rectangle:
l - length
w - width
We have:
rectangle #1: l = 22cm, w = 29cm
rectangle #2: l = 22cm, w = 21cm
rectangle #3: l = 22cm, w = 20cm
The total Surface Area of the triangular prism:
