Answer:
○ 
Step-by-step explanation:
![\displaystyle 6m^3 - 60m^2 + 144m \\ 6m[m^2 - 10m + 24m] \\ \\ \boxed{6m[m - 4][m - 6]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%206m%5E3%20-%2060m%5E2%20%2B%20144m%20%5C%5C%206m%5Bm%5E2%20-%2010m%20%2B%2024m%5D%20%5C%5C%20%5C%5C%20%5Cboxed%7B6m%5Bm%20-%204%5D%5Bm%20-%206%5D%7D)
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Answer:
D
Step-by-step explanation:
a perfect square trinomial is
factorized is
so as you can see option A and B can't be, because they have -49y^2 and it has to be plus
so the other options are C and D
in the trinomial a=4 and b=\pm 7
the roots of a^2 and b^2
so it's option d with b=-7
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
