The dashed figure is a dilation of the original figure. find the scale factor. classify the dilation as an enlargement or a reduction. 1. scale factor 1/3 reduction 2. scale factor 4 enlargement 3. scale factor 3 enlargement 4. scale factor 1/4 reduction

1:I read this to say that the lengths of the sides are reduced by a scale factor of 1/3. One of the sides has length 6.3 cm and one third of 6.3 is 13×6.3=2.1 cm. Thus the length of the new rectangle is 6.3 - 2.1 - 4.2 cm.

You can do this in one step. If you reduce the length by one third you are left with two thirds and 23×6.3=4.2.

2:The size of an enlargement/reduction is described by its scale factor. For example, a scale factor of 2 means that the new shape is twice the size of the original. A scale factor of 3 means that the new shape is three times the size of the original.

3:Enlarge the triangle with scale factor 3, using O as the centre of enlargement. The diagram shows the 2 triangles; the explanation follows. First draw lines from point O through A, B and C, as shown in the diagram. Measure the length O A and multiply it by 3 to get the distance from O of the image point A', i.e.

4:is 8

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation:

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