Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
2 answers:
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<u>Given:</u>
The given function is
We need to determine the reflection of f(x) over the x - axis
<u>Reflection over x - axis:</u>
The translation rule to reflect over the x - axis is given by
Reflecting the function over the x - axis, we get;
Multiplying -1 to both sides of the equation, we have;
This can be written as
Hence, the reflection of the function over the x - axis is
Thus, Option A is the correct answer.
Answer:
The perimeter of the cross section is 33.3 cm
Step-by-step explanation:
Given: A rectangular prism with height 6 centimeters, length 8 centimeters, and width 7 centimeters. The rectangular prism is intersected by a plane that contains points B, D, H, and F.
We have to determine the perimeter of the cross section.
Since, The plane is drawn diagonally such that it intersect the points B, D, H, and F.(as shown in figure below)
Perimeter of a figure is the sum of its outer boundaries.
We first find the length of diagonal HF.
Since, HGFE , is a rectangle
So, Diagonal of rectangle is given by
Here, Length = 8 cm
and breadth = 7 cm
So,
Thus, HF = DB = 10.63 cm
Therefore, Perimeter of cross section is DB + BF +FH + DH
= 10.63 + 6 + 6 + 10.63 = 33.26
Thus, the perimeter of the cross section is 33.3 cm
