Answer:
x=45
Step-by-step explanation:
Since AB is a straight line, it is 180 degrees
AOE + EOF + FOD + DOB = 180
15+x+2x+120-2x = 180
Combine like terms
135 +x = 180
Subtract 135 from each side
135-135 +x = 180 -135
x = 45
Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:

cm cubed

which is negative because (50-66.666)<0
Answer: 18000 cm cubed
Answer:
x = 8 and y = - 1
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (8, - 1 ) with x- coordinate 8, then
x = 8 ← equation of vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (8, - 1 ) with y- coordinate - 1, then
y = - 1 ← equation of horizontal line
9w+45= amount of money she’ll have after any amount of weeks.
So, since W is weeks... and you have 9 weeks, you do (9x9)+45.
Then you get 81+45, which is 126. She will have $126 after 9 weeks
1. 28.57
2. 16
Hope this is right.