What are the coordinates of the point on the directed line segment from (-10, -3) to (-3, -3) that partitions the segment into a ratio of 3 to 4?

9514 1404 393

  (-7, -3)

Step-by-step explanation:

The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.

  P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7

  P = (-7, -3)

The point that partitions the segment in the desired fashion is (-7, -3).

Alternate solution

The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation: