The preimage is the solid triangle while the image is the dashed triangle. Recall that any transformation takes a preimage and maps it to an image. The "preimage" is the "before"; while the "image" is the "after"
Preimage ---> Image
Before ---> After
The "pre" is one way to help remember it means "before".
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The preimage has a horizontal segment length of 15 units (count from x=-9 to x=6 and you should count out 15 spaces). The corresponding horizontal piece on the dashed triangle is only 3 units long. Divide the image length over the preimage length
(image length)/(preimage length) = 3/15 = 1/5 = 0.2
Now if the figure wasn't reflected over the point (6,6), then the final answer would be either 1/5 or 0.2; however, this reflection does happen so we need to make the scale factor negative. So we go from 1/5 to -1/5, and we go from 0.2 to -0.2
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Final Answer as a fraction: -1/5
Final Answer in decimal form: -0.2
Answer:
The area lies to the right of the z-score 0.48 means all the values greater than it. This can be calculated on a graphing calculator using the function normCdf, where
- Lower bound = 0.48
- Upper bound = 9999
- Mean = 0
- Standard deviation = 1
<u>The result would be normCdf(0.48,9999,0,1) ≈ </u><u>0.315614</u>
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The area lies to the left of the z-score 0.79 means all the values less than it. This can be calculated on a graphing calculator using the function normCdf, where
- Lower bound = -9999
- Upper bound = 0.79
- Mean = 0
- Standard deviation = 1
<u>The result would be normCdf(-9999,0.79,0,1) ≈</u><u> 0.785236</u>
Answer: 60
Step-by-step explanation:
Number six is 4x4 there because 4x4= 16
Answer:
5ab
Step-by-step explanation:
To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.
Find the largest number of each element that can be divided by both.
Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)
Variable a: the GCF of a² and a is a
Variable b: the GCF of b and b² is b
Therefore, the GCF is 5ab.
