Answer:
The lines are parallel
Step-by-step explanation:
it's established that
To find the slope between two points, we use the formula
Keep in mind
If lines are parallel, their slopes must be identical
When lines are perpendicular, their slopes are negative reciprocals (the product equals -1)
step 1
Determine the slope of JK
we have
insert the values
step 2
Compute the slope of LM
we have
insert the values
step 3
Analyze the slopes
thus
hence
The lines are parallel
Step-by-step explanation: The entertainment company’s net value after t months can be expressed by the equation; v(t) = 4t² - 24t - 28.
To factor this expression, we need to simplify the equation:
v(t) = 4t² - 24t - 28,
dividing everything by 4 yields:
v(t) = t² - 6t - 7,
v(t) = t² - 7t + t - 7,
v(t) = t(t-7) + 1(t-7),
v(t) = (t+1)(t-7).
Thus, the function in factored form is v(t) = (t+1)(t-7).
To find when the company hits its lowest value, substitute v(t) = 0 into the factored expression:
v(t) = (t+1)(t-7).
Setting equal to zero provides:
(t+1)(t-7) = 0, leading to t + 1 = 0 and t - 7 = 0; thus, t = -1 and t = 7.
Since time cannot be negative, therefore, t equals 7 months.
This indicates that after 7 months, the company will reach its minimal net value.
Answer:
The four odd numbers in sequence are 89, 90, 91, and 93.
Step-by-step explanation:
Designate the four consecutive numbers as x, x+2, x+4, and x+6.
Based on the information given in the question
x + (x + 2) + (x + 4) + (x + 6) = 368
4x + 12 = 368
4x = 356
x = 89
Consequently, the numbers are 89, 90, 91, and 93.
Hope this is helpful:)
Answer: 10 holly bushes and 12 bayberry shrubs
Step-by-step explanation: use your brain or a calculator to figure out the cost of each type of plant and then total them up
It's from Dublin to San Juan
The departure is scheduled for Friday at 1:30 PM (Dublin Time) ==> Time in San Juan is 9:30 (-4 Hours)
Travel duration is 16 Hrs (Dublin arrives on Saturday at 6:30PM) and reaching San Juan on Saturday at 9:30 +16;30 means it's 2 AM (26-24)
