1) Slope tell about the steepness of the line.
To find slope we look at the rise and run between 2 points.
attached the graph of line with slope
slope = 
= 
So slope = 2
2) we have x and y intercepts
x intercept is the point where the line crosses x axis
x intercept at x= 3
y intercept is the point where the line crosses y axis
y intercept at y= 6
3) Linear equation is y= 3x+2
function is f(x) = 3x+2
We can graph it using slope and y intercept
In f(x)= 3x + 2 , slope =3 and y intercept = 2
slope = 3, rise = 3 and run =1
The graph of f(x)= 3x+2 is attached below.
Answer:
360 is divisible by all numbers 2,3,4,5,6,9 or 10 .
Step-by-step explanation:
Given : 360
To find : 360 is divisible by which of the following numbers 2,3,4,5,6,9, or 10
Solution : We have given
Numbers 2,3,4,5,6,9, or 10.
For number = 2
.
For number = 3
.
For number = 4
.
For number = 5
.
For number = 6
.
For number = 9
.
For number = 10

Therefore, 360 is divisible by all numbers 2,3,4,5,6,9 or 10 .
Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Step-by-step explanation:
The complete question is
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain
step 1
Find the length side of the cube-shaped case
we know that
The volume of the cube is equal to
where
b is the length side of the cube
we have
substitute
solve for b
step 2
Convert feet to inches
we have
step 3
Compare the dimensions of the table with the dimensions of the cube-shaped case
30 > 10
The length of the table is greater than the length side of the cube
18> 10
The width of the table is greater than the length side of the cube
therefore
You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Answer:
(64/5)π
Step-by-step explanation:
Area of the circle: 16π
central angle: (8/5)π
The Area of the circle corresponds to a central angle equal to 2π (the complete circle). Then the following proportion must be satisfied:
16π / x = 2π / (8/5)π
x = [16π * (8/5)π] / 2π
x = (64/5)π
Step-by-step explanation:
