Answer:
mi español no es tan bueno si hay algún error en esto entonces lo siento
cursos en diferencial = a, b, c
cursos de álgebra = p, q, r
conjunto de estudiantes tomando ambos = {(a, p), (a, q), (a, r), (b, p), (b, q), (b, r), (c,p),(c,q),(c,r)}.
Step-by-step explanation:
márcame como el más inteligente
Answer:
Option D. 3:1, $120
Step-by-step explanation:
The complete question in the attached figure
Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?
Let
x -----> the amount of money contributed by Anna
y ----> the amount of money contributed by her mother
we know that
Looking at the table
The value of x is equal to
The value of y is equal to
Find the ratio x/y
substitute the values
Part 2) What was the total amount saved in April?
we know that
To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April
so
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer: 2(-2x+3)
Step-by-step explanation: