Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.
Step-by-step explanation:
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
<span>150+10c+150-10c=1.5(15-c)(15+c)300=1.5(225-c^2)300=337.5-1.5c^2200=225-c^2c^2=25c=5speed of current=5 mph<span>
</span></span>
Answer:
Step-by-step explanation:
The domain of a function is all of the values that 
can be under that specific function. In this case, we're asking what values of allow 
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to 
, because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for :
Solving this inequality, we get:
(Subtract 
from both sides of the inequality to isolate )
(Multiply both sides of the inequality by 
to get rid of 's coefficient)
Hope this helps!
