Answer:
(2.5*(30/5)+6)*12=252
Step-by-step explanation:
Answer:
4x+8=-24 and
4x=-32
Step-by-step explanation:
2/3(6x+12)=-24
or,12x+24=-72
or,x=-72-24/12
•°•x=-8
4x+8=-24
or,x=-24-8/4
•°•x=-8
4x=-32
or,x=-32/4
•°•x=-8
Answer:
3089/11220
Approximately = 0.2753
Step-by-step explanation:
Patel estimates that he needs 2 cups of Orange juice.
But let's know the amount he already has.
4/17 + 3/10 + 9/20 + 3/11 + 7/15
= 3/10 + 9/20 + 7/15 + 3/11 + 4/17
=( 18 + 27 + 28)/60 + (51+44)/187
= 73/60 + 95/187
=( 13651 + 5700)/11220
= 19351/11220
= 1(8131/11220)
So to complete it two he needs ( 11220-8131)/11220= 3089/11220
Approximately = 0.2753
Answer:
(- 2, - 9 )
Step-by-step explanation:
The axis of symmetry passes through the vertex of the parabola.
Thus the x- coordinate of the vertex is x = - 2
To find y substitute x = - 2 into f(x)
f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9
Vertex = (- 2, - 9 )
<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>