Answer:
8
Step-by-step explanation:
24/3 = 8
Answer:
Correct answer: Two point of intersection and one touch point.
Step-by-step explanation:
Cartesian form of parabola is: y= a(x-1)² + 5 and point named A(2,4)
when we replace the coordinates of the point A in the formula we get
a = - 1 and parabola is y= - (x-1)² + 5 which means that it faces the opening downwards. The parabola touches the circle in vertex.
God is with you!!!
Answer:Number of children = 2 and number of adults = 9 attended the play
Step-by-step explanation:
Step 1
Let the number of children be represented as x
and the number of adults in the group be represented as as y
such that the total number of the group that went to the play
= x+y=11--- equation 1
And the total cost paid for the play will be expressed as
15x+ 22y= 228------ equation 2
Step 2-- Solving
x+y=11--- equation 1
15x+ 22y= 228------ equation 2
B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2
15x+ 22y= 228------ equation 2
15x+15Y= 165----- equation 3
7y=63
y= 63/7= 9
y= adults = 9
therefore x = number of children will be
x+y=11
x+ 9=11
x= 11-9= 2
In the group that attended the play, Number of children = 2 and number of adults = 9
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
1032x
Step-by-step explanation:
