Answer:
Step-by-step explanation:
1) Let width = x
One side of the rectangle is covered by river. So only, 3 sides to be covered.
length = 100 - ( x + x) = 100 - 2x
Area of rectangle = length *width
= (100 - 2x)*x
f(x) = 100x - 2x^{2}
Answer:
86.33 square micrometers
Step-by-step explanation:
A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.
The formula for the Surface Ares mma is given as :
A=a² + 2a √a²/4+ h²
a = base edge = 5 micro meters
h = height = 5.6 micro meters
=5²+2× 5 × √5²/4+ 5.6²
= 86.32699 square micrometers
≈ 86.33 square micrometers
Answer:
Answer: y=7x+22
Step-by-step explanation:
The point-slope formula states: (y−y1)=m(X−X1)
Where m is the slope and (X1,y1) is a point the line passes through.
Substituting the values from the point and the slope given in the problem allows us to write an equation for this line as: (y−8)=7(X−−2) which then simplifies to (y−8)=7(X+2)
We can also solve for y to put this equation into slope-intercept form.
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
y−8=(7×X)+(7×2) -which then simplifies to-: y−8=7x+14
y−8+8=7x+14+8
y−0=7x+22
Answer: y=7x+22
Your correct answer should be choice D
The polynomial for the perimeter starts from the formula for the perimeter of a rectangle as written below:
Perimeter = 2L + 2W = 2( L + W)
Perimeter = 2(4A + 3B + 3A - 2B)
Perimeter = 2(7A - B)
Let perimeter be P,
P = 14A - 2B --> this would be the polynomial
Let's substitute A=12 to the polynomial:
P = 14(12) - 2B = 168 - 2B
To determine the minimum P, set it to 0.0001.
0.0001 = 168 - 2B
B = 83.999 or 84
Thus, the minimum perimeter is achieved if the value of B approached to 84.
