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djyliett [7]
2 years ago
8

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 poss

ible answers.
Mathematics
1 answer:
stellarik [79]2 years ago
5 0
<span>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.</span>
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RideAnS [48]
The answer would be C because it’s the only fraction that does not equal 0.4
8 0
3 years ago
Rachel walks to a friends house then to the store then back home. the distance from Rachel’s house to her friends house is 1 5/6
ryzh [129]

Answer:

11/12 miles hope this helps :)

7 0
3 years ago
Nick bought a new car.
ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

A(t) = A(0)(0.88)^t.

It halves in value at t years, for which A(t) = 0.5A(0), hence:

A(t) = A(0)(0.88)^t

0.5A(0) = A(0)(0.88)^t

(0.88)^t = 0.5

\log{(0.88)^t} = \log{0.5}

t\log{0.88} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.88}}

t = 5.42.

It takes 5.42 years for the car to halve in value.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

9 0
1 year ago
Need help ASAP.<br> 50×50+60-105=?
Mandarinka [93]

Answer:

2,455

Step-by-step explanation:

Use PEMDAS to solve

First multiply 50x50, which is 2,500

50 x 50 + 60 - 105   becomes

2,500 + 60 - 105

Now to the addition or subtraction from left to right

2,560 - 105

  2,455

4 0
2 years ago
Read 2 more answers
!(URGENT)! True or False
sergeinik [125]

its false

im sure

hope it helps!

thanks!

8 0
3 years ago
Read 2 more answers
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