Answer:
-x • (81x3y4 + 343x2y2 - 7938x - 3969y2)
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441
Answer:
D: 57 + 30x = 150
Step-by-step explanation:
63-3(2-10x)=150
63 - 6 + 30x = 150
57 + 30x = 150
Answer: 24 sq. ft
Step-by-step explanation: 20 x 36 - (36 - 20 / 2 ) x (20 - 14 )= 24 sq. ft
Answer:
x = 20°
y = 70°
Step-by-step explanation:
the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)
in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°
to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°
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