What is the volume of the rectangular prism?
2 answers:
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Answer:
y = x + 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = , then
y = x + c ← is the partial equation
to find c substitute (- 4, 5 ) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = x + 8 ← equation of line
<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.