Answer: The answer is the first explanation.
Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.
Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as
Also, we know that
And diameter of a circle is twice the radius, so
Therefore,
This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is
(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.
<span>The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.</span>
<span><span>One SolutionNo SolutionsInfinite Solutions</span><span /><span><span>If the graphs of the equations intersect, then there is one solution that is true for both equations. </span>If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.</span></span>
When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Some special terms are sometimes used to describe these kinds of systems.
<span>The following terms refer to how many solutions the system has.</span>
First, we convert the percentage to a decimal.
25% - 0.25
Next, we times this by the cars current value.
0.25 x $27,300
= $6,825
Lastly, we add this to our original cost to determine the starting value of the car.
$27,300 + $6,825
= $34,125
Cheers!
Y= 4 is perpendicular to the x- axis
The x- axis is the horizontal line, and the y- axis is the vertical line
2n + 3 = 5
2n = 2
n = 1
the sum of 2 times a number and three means you add 2n + 3 and since it is equal to 5 you then solve for n.
