Answer:
y = x - 3
Step-by-step explanation:
4x - 5 = 7 + 4y subtracting 7 from each side
4x - 12 = 4y
then dividing every term by 4
x - 3 = y
Answer:
55°
Step-by-step explanation:
The problem does not have a suitable diagram. Please check the attachment for the diagram.
Observing the diagram, it is evident that the triangle is isosceles, as it has two sides that are congruent (i.e., the same length). Since these sides are identical, the base angles are consequently also equal.
From the diagram, <EFG = <EGF
Since <EFG = 55°, it follows that <EGF = y = 55°
Thus, the value of y is established as 55°
V = x³ - 6x²y + 12xy² - 8y³
V = (x - 2y)³
= (x - 2y)(x - 2y)(x - 2y) ( start by expanding the first pair of factors )
= (x² - 4xy + 4y²)(x - 2y) ( multiply the terms from the first group with those in the second )
= x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( combine similar terms )
= x³ - 6x²y + 12xy² - 8y³
The given road capacity is 3,500 vehicles per hour, and the expected number of vehicles arriving is 14,000. To calculate the time required for these vehicles to access the arena:
14,000 vehicles divided by 3,500 vehicles per hour equals 4 hours.
If the event is scheduled to commence at 7 p.m., the roads should close at: 7 p.m. minus 4 hours, which results in 3 p.m.
