How can you tell if a formula represents Length, an Area, or Volume? What do you look for in the formula?

Mathematics

1 answer:

Karolina [17]2 years ago

7 0

Answer:

You can tell when a formula represents each of these by the number of dimensions that are multiplied in the calculation.

Ex:

d = 2r (this would only involve multiplying by one dimension, therefore it is a length)

A = bh (this involves multiplying 2 dimensions, giving a measurement of area)

V = lwh (this involves multiplying 3 dimensions, giving a measurement of volume)

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Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,

Hatshy [7]

Answer: $T'(18,36)$

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of $\frac{9}{5}$ , you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

$T(10,20)$

You get that the coordinates of the Image T' are the shown below:

$T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)$

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