Answer:
the first one
the third one
and the forth one
Step-by-step explanation:
they all add up to the same amount
Answer:
the answer is 10.3
Step-by-step explanation:
Answer:
The distance is:
Step-by-step explanation:
We re-write the equation of the line in the format:
Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.
In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:
Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:
We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:
Then we solve that equation for t, to get:
Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:
Then to find the distance we just use the distance formula:
So we get:
Property: In every triangle the median is divided by the centroid (intersection point of the medians) in a 2:1 ratio, the shorter toward the midpoint of the side. We use this property in all of the above:
1. PD = 15. Since we know CP=30, PD is half of that, i.e., 15
2. FP = 13. Since BF = 39, and we know that FP is 1/3 of BF (see property stated above), FP = 13.
3. BP = 26. Following (2), BF is partitioned by FP and BP as 1:2. Hence BP is 2/3 of FP, or 26.
4. CD=45. In (1) we calculated PD=15 and we are given CP=30, so CD=45.
5. PA=36. We are given EP=18, which is 1/3 of length EA, so PA = 2*EP = 36.
6. EA=54. EA=EP+PA = 18+36=54
THE VALUE OF 9 IN 495,123 IS 10000 <span>TIMES THE VALUE OF 9 IN 63,129</span>