Answer: 1,2,3, and 5
Step-by-step explanation:
The isometries that preserve a shapes angles and line segments making the pre image congruent to the (post) image are :
Reflections, rotations, translations
These are rigid transformations. Think of your ruler. If you flip it, slide it, or rotate it around, did the ruler change shape? No. Just positions.
If you dilate something, you are either making it larger or smaller, therefore changing the size of the shape.
Anything that has dilation in its transformation does not have congruent shapes.
We have the following expression:
y = logbx
We clear x of the expression.
We have then:
b ^ y = b ^ (logbx)
Rewriting:
x = b ^ y
Substituting we have:
x = b ^ 0
x = 1
Answer:
If (x, 0) lies on the graph of y = logbx, then:
x = 1
First write the inequality: 15
4.75x +3.50
Then to solve, first subtract 3.50 from both sides to get:
11.50
4.75x
Then divide by 4.75 to get 2.42, and since you can't buy .42 of a bag of fruit, you round down. So your final answer would be 2 bags of fruit.
The answer is:
an=4000n+38,000
Sam has $42,000 one year after graduating. So when he graduates, he would have $38000.
Hope this helps!
