Answer:
slope of the first line: 1
slope of the second line: 0.778
slope of the third line: 0.375
slope of the fourth line: 1.25
Step-by-step explanation:
Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:
slope = (y2 - y1)/(x2 - x1)
Therefore,
slope of the first line: [5 - (-4)]/[4 - (-5)] = 1
slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778
slope of the third line: [2 - (-1)]/[3 - (-5)] = 0.375
slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;
Substituting the values, we get;
Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE =
Length of EC =
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;
Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;
Thus, the length of DB is 46.
Answer:
I dont understand that sorry