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andreyandreev [35.5K]
3 years ago
6

Given the pre-image point A (4,-9) and it's image point A' (12, -27), determine the scale factor

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Answer:

scale factor = 3

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the image x and y coordinates to the original x and y coordinates, that is

scale factor = \frac{12}{4} = \frac{-27}{-9} = 3

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A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inch How tall is the triangular flag?
SpyIntel [72]
To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches.  Hope this helped!
6 0
3 years ago
4x^2-2x-4=0 solve using quadratic formula
MArishka [77]

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients.  4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac.  Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

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Then the quadratic formula   x = ---------------------------

                                                                 2a

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takes on the values  x = -----------------  =  ---------------

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4 0
3 years ago
A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days
Nitella [24]

Answer:

20 = initial population of the rabbits

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the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

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(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

7 0
3 years ago
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28.49 because they dont have a proportion 
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