Answer:
Option (1)
Step-by-step explanation:
Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)
Since ABCD is a square,
Perimeter of a square = 4 × (length of a side)
= 4 × (AB)
Formula to calculate the distance between two points 
and 
is,
d = 
Therefore, distance between two points A(-2, 1) and B(2, 7) will be,
AB = 
AB = 
AB = 
AB = 
Now area of square ABCD = 4 ×
= 
unit
Therefore, option (1) will be the answer.
Answer:
20
Step-by-step explanation:
25% change to .25
.25 x 80
Just solve 25 x 80 which equals 2000
then move decimal over twice giving you 20.00 or 20
Answer:
There are 112 days in 16 weeks
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Answer:
A = 5.76 cm²
Step-by-step explanation:
3.2 cm x 1.8 cm = 5.76 cm²
