Answer: 3
Step-by-step explanation: 18/6=3
The transformation that changes the area of a shape is dilation (Option D)
Step by step explanation
Option A: Translation
A translation is a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. For this type, the image is congruent with the original shape.
Option B: Rotation
A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. For this type, the image is congruent with the original shape.
Option C: Reflection
A reflection is a transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection. For this type, the image is congruent with the original shape.
Option D: Dilations
Dilation in math is a transformation that changes the size of a figure so it becomes larger or smaller without changing shape. This type changes the area since the area is the size of a figure.
The value for x that is a double root of this function is x = -1
<h3>How to determine the double root?</h3>
The function is given as:
f(x) = x^3 - 3x - 2
From the graph of the above function (see attachment), we have the following highlights:
- The curve crosses the x-axis at x = 2
- The curve touches the x-axis at x = -1
The point that it touches the x-axis is the double root point
Hence, the value for x that is a double root of this function is x = -1
Read more about functions at:
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Answer:
No, she will have 140 cards in 4 months
Step-by-step explanation:
the equations is:
f(x) = 100 + 10x
now x = 4
f(4) = 100 + 10(4)
f(4) = 100 + 40
f(4) = 140
140 does not = 60
Answer:
Step-by-step explanation:
36 = 6 * 6 = 2 * 3 * 2 * 3 = 2² × 3²
7 = prime, factors are only 1 and 7; only 1 and 7 are integers which multiply to 7