1/2 x 6 = 3
3 x 8 = 24
24/6 = 4
4 - 1 = 3
3 is your answer
hope this helps
First 3/8, second 2/3, and third 19/24
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:
S = 128πx² + 64πx + 8π
Step-by-step explanation:
Suraface area of a cylinder is given by:
S = 2πrh + 2πr²
We know that the height is 3 times as big as the radius, hence:
h = 3r
so we can plug in the new h value and rewrite the S equation as:
S = 2πrh + 2πr²
S = 2πr(3r) + 2πr²
S = 6πr² + 2πr²
S = 8πr²
We're given in the question that the radius is (4x + 1) inches, so plug that into r.
Given: r = 4x + 1
Therefore,
S = 8πr²
S = 8π(4x + 1)²
S = 8π(16x²+8x+1)
S = 128πx² + 64πx + 8π
Answer:
Step-by-step explanation:
Answer:
(x-1)²+(y-3.5)² = 265/4
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+-7)/2, (2+5)/2
(1, 3.5) = center
then distance formula to find diameter
√(9- -7)²+(2-5)²=√256+9 = √265
The radius is half the diameter = (√265)/2
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-1)²+(y-3.5)² = 265/4
