Answer:
If use the area of the frame the area of the photo will be included
Area of frame = (22 + 2 x) * (20 + 2 x) = A
440 + 2 x ( 20 + 22) + 4 x^2 = A
A = 4 x^2 + 84 X + 440
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer:
Option B
Step-by-step explanation:
we know that
A line perpendicular to the x-axis is a line parallel to the y-axis
so
the equation of the line is of the form x=(+/-)a
The slope of the line is undefined
where
a is a real number
therefore
x=6 is a line perpendicular to the x-axis
The matrix
has eigenvalues 
such that
for all values of 
, so we need to have 
in order for to be real-valued. This happens for
where 
is any integer, and over the given interval we have 
and 
.
The perimeter of a square is equal to the side length times 4.
The equation is P = 4S, with P being the perimeter, and S being a side.
Also, to get the length of a side from the perimeter, just divide the perimeter by 4.
To have it in centimeters, just add cm to the end of your answer!
