Answer:
Length of rectangle: 2n - (1/3) + 9/(3n)
Width of rectangle = 3n
Rectangle area = A = 6 n^2 - n + 9
Step-by-step explanation:
Rectangle area = A = 6 n^2 - n + 9
test what the roots are: b^2 - 4ac = (-1)^2 - 4*6*9 < 0 no real roots
-215 < 0 discriminant
(6 n^2 - n + 9) / (3n) =
2n - (1/3) + 9/(3n)
If the area is divided by 3n, the quotient is 2n - (1/3) and the remainder is 9
Answer:
The rental cost for Company A and Company B will be the same after 500 miles
Step-by-step explanation:
The total cost of renting a truck from Company A can be expressed as;
Total rental cost(Company A)=Cost per day+Total rate
where;
Cost per day=70
Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m
replacing;
Total rental cost(Company A)=70+0.5 m...equation 1
2. The total cost of renting a truck from Company B can be expressed as;
Total rental cost(Company B)=Cost per day+Total rate
where;
Cost per day=20
Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m
replacing;
Total rental cost(Company B)=20+0.6 m...equation 2
Equating equation 1 to equation 2
70+0.5 m=20+0.6 m
0.6 m-0.5 m=70-20
0.1 m=50
m=50/0.1
m=500 miles
The rental cost for Company A and Company B will be the same after 500 miles
2x-3+7x-10=32
9x-13=32
9x=32+13
9x=45
x=5
Answer:
where are the ordered pairs
Step-by-step explanation:
Step-by-step explanation:
what is the main condition the lengths of the sides of a right-angled triangle have to fulfill ?
Pythagoras !
c² = a² + b²
c is the Hypotenuse (the baseline opposite of the 90 degree angle), a and b are the so-called legs (the sides enclosing the 90 degree angle).
only if there is a combination of the sides, for which the Pythagoras equation is true, do we have a right-angled triangle. otherwise not.
we also know CA = 18 - 7 - 3 = 8 cm
so, let's try
8² = 7² + 3²
64 = 49 + 9 = 58 wrong
7² = 8² + 3²
49 = 64 + 9 = 73 wrong
3² = 8² + 7²
9 = 64 + 49 = 113 wrong
so, there is no combination, where the Pythagoras equation is true, so it is NOT a right-angled triangle.
