The solution to the problem is as follows:
<span>⇒d2−9d−5d+45</span>
<span>
⇒d(d−9)−5(d−9)</span>
<span>
⇒(d−5)(d−9)
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Answer:
m=10
Step-by-step explanation:
<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:
The distance between point M and point L is 8
Step-by-step explanation:
The given points on the coordinate are M = (- 2, 4) and L = (4, - 1)
The formula for determining the distance between two points is expressed as
d = √(x2 - x1)^2 + (y2 - y1)^2
Where
y2 = final value of y = - 1
y1 = initial value of y = 4
x2 = final value of x = 4
x1 = initial value of x = - 2
Therefore,
d = √(4 - - 2)^2 + (- 1 - 4)^2
d = √6^2 + (-5)^2
d = √36 + 25
d = √61 = 8