Mathematics, 18.07.2019 16:00 valerrry

Points a(−1.5) and b(6) are marked on a number line. find the coordinate of point m if it is known that am: mb=1: 2. find all possible answers.

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M can have a coordinate of (-9) or (1) There are potentially 3 different places for point M to go. It can be placed to the left of point A, between points A and B, and to the right of point B. Let's check those three possibilities. 1. Left of point A. This works if the distance between M and A is the same as the distance between A and B. So distance between A and B = 6 - (-1.5) = 6 + 1.5 = 7.5 So the location for M would be -1.5 - 7.5 = -9 So point M can have the value of -9. 2. Between A and B. This would also work. Since we want a 1:2 ratio, place M one third of the way from A to B. Since we already know the distance between A and B to be 7.5, that means that we should add 7.5/3 = 2.5 to the value of A. So -1.5 + 2.5 = 1 So point M can also have the value of 1. 3. To the right of point B This won't work. Point B will always be closer to M than point A will be. So it's impossible to get a ratio of 1:2.

Answer from: FailingstudentXD

The possible coordinate of M is (11/3, 5/3)

The formula for calculating the midpoint of between two coordinates divided into the ratio m:n is expressed as:

$M(x,y) =(\frac{mx_1+nx_2}{m+n}, \frac{my_1+ny_2}{m+n} )$

Given the coordinates of the A(−1.5) and B(6) divided in the ratio of 2:1, the coordinate of point M will be expressed as:

$M(x,y) =(\frac{1(-1)+2(6)}{1+2}, \frac{1(5)+3(0)}{1+2} )\\M(x,y) =(\frac{-1+12}{3}, \frac{5+0}{3} )\\M(x,y) =(\frac{11}{3}, \frac{5}{3} )\\$

Hence the possible coordinate of M is (11/3, 5/3)

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Answer from: Quest

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

Answer from: Quest

$\frac{-15.66}{5.8} =-2.7$

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷ 5.8 a fraction. then divide.

2. simplify. $\frac{-27}{10} =2.70000$

3. final answer. $\frac{-15.66}{5.8} =-2.7$

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Points a(−1.5) and b(6) are marked on a number line. find the coordinate of point m if it is known t...

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