(3x^3 - 5x^2 -4x + 4) / (x-2) = (3x-2)(x+1) when x ≠2
<u>Answer:</u>
24
<u>Step-by-step explanation:</u>
To find ƒ(6), we have to substitute x = 6 into the expression for ƒ(x):
ƒ(6) = (6)² - 2(6)
= 36 - 12
= 24
Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3
Answer:
Mass of the cat = 16800kg
Step-by-step explanation:
The volume of the box = its length * its breath * its height- 4m × 3m × 2m = 24
The standard density of water is 1000 Kg/
By Archimedes principle, the mass of a body floating body is equivalent to the mass of the volume liquid displaced
in this case we have
Mass of water displaced = Density of the water × Volume of the water displaced = 1000 Kg/
× 24
= 24000kg
The mass of the box = Box density × Box volume = 24
× 300kg/
= 7200 kg Hence the mass of water displaced = mass of the foating box + mass of th cat
24000kg = mass of cat +7200kg
mass of cat = 24000kg - 7200kg = 16800kg