Answer: the original length of the piece of wood is 23 feet
Step-by-step explanation:
Let x represent the original length of the piece of wood.
He cuts 3 feet off the piece of wood. This means that the remaining length of wood would be
(x - 3) feet
he cuts the remaining length of wood into four equal parts. if each part is 5 feet long, it means that
(x - 3)/4 = 5
Cross multiplying by 4, it becomes
x - 3 = 4 × 5
x - 3 = 20
x = 23
Answer:
1. $11747.083
2. $29,253
3. $24222.04
4. $1542.23
Step-by-step explanation:
Message for explanation if you want.
<u>1</u><u>.</u><u> </u><u>(ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0</u>
We know that (a+b)(a-b) = a²-b²
(ab + bc)(ab -bc) can be written as a²b² - b²c²
(bc + ca)(bc -ca) can be written as b²c² - c²a²
(ca + ab)(ca - ab) can be written as c²a² - a²b²
→ a²b² - b²c² + b²c² - c²a² + c²a² - a²b²
→ a²b² - a²b² - b²c² + b²c² - c²a² + c²a²
→ 0
<u>2</u><u>.</u><u> </u><u>(a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc</u>
→ a³ + ab² + ac² -a²b - abc -ca² + a²b + b³ + bc² - ab² - b²c - abc + a²c + b²c + c³ - abc - bc² - c²a
→ a³ + b³+ c³ + (- abc - abc - abc) + (ab² - ab² )+ (ac² - ca² ) -(a²b + a²b )+ (bc² - bc² )+ (a²c - c²a) + (b²c - b²c)
→ a³+b³+c³ - 3 abc .
<u>3</u><u>.</u><u> </u><u>(p – q) (p² + pq + q²) = p³ – q³. </u>
→ p³ + p²q + pq² - p²q - pq² - q³
→ p³ - q³ +(p²q - p²q) + (pq² - pq²)
→ p³ - q³
5 hours and 20 minutes because 1/3 as a decimal is 0.3 continued (i wrote down 0.33 so its simplified) and 0.33 decimal hours is 20 minutes.
Answer:
y intercept =
x intercept =
.
Step-by-step explanation:
.
y intercept
so, the answer is
.
x intercept
so, the answer is
.
Happy to help :)