What is the answer???
2 answers:
Option D, 5 and 6
In order to estimate what the cube root of 200 is, we can simply cube root the options and check if they're near 200.
Option A: 66*66, as you can tell, is way way bigger than 200, so we can scratch that off without having to do any calculations.
Option B: The same goes for Option B. 20*20 is already twice the size of 200, and so we can scratch this one off too.
Option C: 6 and 7? Seems pretty close. Let's give it a shot. = 216. Whoops, guess not. The smaller number should be smaller than 200, and the bigger number should be larger than 200.
Option D: Seeing that all the other options were wrong, it looks like D is our only answer. 5*5*5 = 125, and 6*6*6 = 216. Since 125 is less than 200 and 216 is greater, we can confirm that Option D is the right answer
If there's any part that needs clarification, just tell me and I'll explain it.
Good luck! :)
-T.B.
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Answer:
Step-by-step explanation:
A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,
1=4x+3y+4z = 3y + (4x+4z)= 3y+0.
From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).
B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.
As we want a unit vector, we must calculate the modulus of u:
.
Thus, the wanted vector is . Therefore,
.
C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.
where is a real number.