root (-20,0) vertical intercept (0,4)
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
Answer:
Step-by-step explanation:
<u>The angles are corresponding angles and they are equal by definition</u>
- 120 = x + 123
- x = 120 - 123
- x = 3
Step-by-step explanation:
Given
< a = 145°
< a + < b = 180° { Being supplementary angles }
145° + < b = 180°
< b = 180° - 145°
< b = 35°
Hope it will help :)❤
<h3>
Answer: 1/6</h3>
Explanation: There is 1 side that has what we want (rolling a 2) out of 6 sides total.
