equivalent to –y ?
a. 128
b. 18
c. 648
d. 1,048,576
The answer is D) 1,048,576 ..... i took the pennfoster test and it was correct :))
Explanation
Angle x and angle 141 are congruent because they are corresponding angles, and because the lines are parallel. Corresponding angles are in the same corner. In this case it's the northwest corner.
Angles x and y are supplementary. They glue together to get a straight line. Which means the angles add to 180.
x+y = 180
141+y = 180
y = 180-141
y = 39
Answer:
30(x-4)-16(y-1)+18(z-3)
OR
30x-16y+18z=158
Step-by-step explanation:
In order to find the tangent plan equation at point P,you know that r₁(t) and r₂(u) lie on surface S, Find the vectors B₁(t)=r₁(t) and B₂(u)=r₂(u)
B₁(t)=(4+3t, 1-,3-5t+
B₁(t)=(3, -2t, -5+2t)
B₂(u)=(3+, 2-1, 2u+1)
B₂(u)=(2u, 6, 2)
Put t=0 in r₁(t), we will get:
r₁(t)=(4, 1, 3), it means it is on point P
Put u=1 in r₂(u), we will get:
r₂(u)=(4, 1, 3), it means it is on point P
Put t=0 in B₁(t), we will get:
B₁(t)=(3,0,-5)
Put u=1 in B₂(u), we will get:
B₂(u)=(2,6,2)
So Plane Contains two vectors B₁(t) and B₂(u), For Normal Vectors to the plane Cross Product is:
B₁(t)xB₂(u)= (3,0,-5)x(2,6,2) [Cross Product]
B₁(t)xB₂(u)=(30,-16,18)
Equation will become:
30(x-4)-16(y-1)+18(z-3)
OR
30x-16y+18z=158