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AnnyKZ [126]
3 years ago
15

The length of EF⎯⎯⎯⎯⎯ is 40 millimeters. What is the length of E′F′⎯⎯⎯⎯⎯⎯⎯⎯ after a dilation with a scale factor of 2/5 ? Enter

your answer in the box. mm
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

  16 mm

Step-by-step explanation:

Dilation multiplies every length by the dilation factor.

  E'F' = (2/5)EF = (2/5)(40 mm) = 16 mm

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Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

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Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

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