19.Marvin is working on a problem for his geometry class. He has to determine if quadrilateral ABCD is a parallelogram, and if s
1 answer:
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Answer:
the height is 5x-2
Step-by-step explanation:
factor 25x^2+10x-8=(5x-2)(5x+4)
cancel like terms
height = 5x-2
Answer:
There will be one person on 1 square yard of land after 1,892,147.588 years.
Step-by-step explanation:
Continuous exponential growth formula:
P(t)= Population after t years.
P= Initial population
r=rate of growth.
t= time in year
Given that,
Growth rate of country A (r)= 4.9% per year=0.049 per year.
Initial population (P)= 151,000.
Land area of country area= 14,000,000,000 square yards.
There will be one person on one square yard of land.
So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.
P(t)=14,000,000,000 person
Taking ln both sides
years
There will be one person for every square yard of land after 1,892,147.588 years.
Answer/Step-by-step explanation:
Equation to represent the daily rental cost for each type of truck can be written as follows:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Where, m = Emily's mileage
To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.
Collect like terms
Divide both sides by 0.6
At approximately 47 miles, both trucks would cost the same amount.
Check:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Plug in the value of x = 47
= 42 + 0.72(47) = $75.84 ≈ $76
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Plug in the value of x = 47
= 70 + 0.12(47) = $75.64 ≈ $76
Answer:
No solutions.
Step-by-step explanation:
Both equations have the same slope, but are separated by virtue of their different values of b, the y-intercept. The same slope means they are parallel lines. Since the y-intercept is different, they do not overlap.
As they say, "Parallel line have a lot in common. Too bad they'll never meet."
See attachment.
