Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
To obtain the square root of 16x^36, the coefficient portion (16) will not present any problems since 16 is a perfect square. However, for a variable with an exponent, the exponent is to be multiplied by 1/2 since the square root symbol is equal to raising the term inside to the power of 1/2. This is shown below:
sqrt (16 x^36) = 4 * x^36(1/2) = 4 * x^18
Therefore, the correct answer is 4x^18.
First change the mixed fraction into an improper fraction
7 1/2 = 15/2
Next, change multiply 2 to both numerator and denominator
15 x 2 = 30
2 x 2 = 4
30/4
Each piece needs 3/4 of an inch. Divide 30 with 3
30/3 = 10
c) 10 pieces is your answer
hope this helps
Answer:
69.08
Step-by-step explanation:
round from 69.115