Answer:
Slope =
Step-by-step explanation:
We can define the slope as the "change in y values" divided by the "change in x values".
By change in, we mean, 2nd point MINUS the first point values.
The points given is:
(1,4) & (-1,-1)
<u>Change in y value:</u>
-1 - 4 = -5
<u>Change in x value:</u>
-1 -1 = -2
Slope is -5/-2 = 5/2
There is no answer choice. The correct answer is 5/2
Answer:
A
Step-by-step explanation:
Recall that the sum of an arithmetic series is given by:
Where <em>n</em> is the number of terms, <em>a</em> is the first term, and <em>x</em>_<em>n</em> is the last term.
We know that the initial term <em>a</em> is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find <em>n</em>.
First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:
Since the initial term is 13 and the common difference is 7:
Substitute:
We are given that the initial term is 13 and the sum is 2613. Substitute:
Solve for <em>n</em>. Multiply both sides by two and combine like terms:
Distribute:
Simplify:
Isolate the equation:
We can use the quadratic formula:
In this case, <em>a</em> = 7, <em>b</em> = 19, and <em>c</em> = -5226. Substitute:
Evaluate:
Evaluate for each case:
We can ignore the second solution since it is negative and non-natural.
Therefore, there are 26 terms in the arithmetic series.
Our answer is A.
Answer: 40
Step-by-step explanation:
Given
Radius of disc
The dimension of the sheet is
Area of a single disc
Area of sheet
No. of discs that can be cut off the sheet are
The total area of the disc is
Sheet wasted