A.) Simplifying the equation would lead you to 15x^2-3x+9
b.) You know your answer is correct because you're adding the two polynomials together. 9x^2+6x^2 is 1tx^2. Now you have 2x-5x and since the negative is bigger, you get -3x. Then 5+4 is 9. You have no like terms therefore your answer is 15x^2-3x+9
Answer:
88.77
Step-by-step explanation: 88.99 x 44.66 is the answer also 24 plus88
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
Answer:
8 possibilities
Step-by-step explanation:
The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.
The beverages we have to choose from are 1)Milk and 2)Juice.
Here are the possibilities:
Apple + Juice
Apple + Milk
Cherry + Juice
Cherry + Milk
Blueberry + Juice
Blueberry + Milk
Peach + Juice
Peach + Milk
So we have a total of 8 possibilities for one pie and one beverage.
Answer: B $852.00
Step-by-step explanation:
