9514 1404 393
Answer:
Step-by-step explanation:
The midline is half the length of the parallel base.
2(2x +36) = 3x +57
4x +72 = 3x +57 . . . . . . eliminate parentheses
x = -15 . . . . . . . . . . subtract 72+3x from both sides
Then the length of GH is ...
GH = 2x +36 = 2(-15) +36 = -30 +36
GH = 6
_____
The calculation steps are shown above. The strategy is to take advantage of the relation between the lengths of a midline and the corresponding base segment.
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:
Answer:
i think its b
Step-by-step explanation:
1/5 of the tank is filled in 1/4 of a minute.
There are 4 periods of 1/4 minute in a minute, because 4(1/4) = 1.
That means that 4(1/5) = the rate, so the rate is 4/5 of a gallon per minute.
Answer:
84 are red, 216 are non red
Step-by-step explanation:
if the bag has 300 pieces, then that's 100% of the sum of red + non red candies
28/100 x 300 = 84 are red
300 - 84 = 216 are non red
I dont know what example 3 is so I cant answer according to that