Douglas has a segment with endpoints i(5, 2) and j(9, 10) that is divided by a point k such that ik and kj form a 2: 3 ratio. he knows that the distance between the x-coordinates is 4 units. which of the fractions below will let him find the x-coordinate for point k? a. 2/3 b. 2/5 c. 3/2 d. 3/5

B. 2/5

Step-by-step explanation:

According to the question,

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio.

For finding the x-coordinate of K, the following steps can be used,

Step 1: Find the length of line segment IJ.

For this we will find the difference between the x-coordinates of points (5,2) and (9,10)

Which is 4. ( Because, 9 - 5 = 4 )

Step 2 : Find the length of IK, For this, Multiply the difference by the fraction 2/5.

Step 3: Now add IJ with the x-coordinate of point I,

Hence, Option B is correct.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation: