Answer:
x < - 9
steps:
4x - 6(x + 1) > 12
2x - 3(x + 1) > 6
2x - 3x - 3 > 6
2x - 3x > 6 + 3
-x > 6 + 3
-x > 9
x < -9
hope this helps, have a great day
mark brainliest :)!!
In 4 hours they will be 400 miles apart 4 times 55 is 220 and 4 time 45 is 180 since there going in opposer directions add the miles together and it equals 400 so it takes 4 hours
Step-by-step explanation:
formula to find volume of a cylinder => V= πr²h
(22/7×(3.5)²×12)cm³
462cm³.
now the total volume of plastic used is = 462×0.2 = 92.4cm³.
hope this helps you.
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
Definition of a rational number:
A rational number is a number that can be written as fraction of integers.
19/10 is a fraction.
19 and 10 are integers.
19/10 follows exactly the definition of a rational number, so it is rational.
