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
We know that
<span>Monica can walk 3.8 kilometers in 40 minutes
and
</span><span>she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km
1 hour=60 minutes
</span>by proportion<span>
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km
the answer is
11.4 km</span>
Answer:
24 and 27
Step-by-step explanation:
√600 = 24.4
√700 = 27.7
So, the numbers should be around 24 and 27
thus you have option 3
Answer:
y=√x+5 -1
the answer is option C,,
x=-7,y=√-7+5 -1=√-2 -1
we can't find the square root of negative values, therefore it displays as error
x=-6,y=√-6+5-1=√-1 -1
same reason
x=-5,y=√-5+5-1=√0-1=-1
x=-4,y=√-4+5-1=√1-1=0
x=-1,y=√-1+5-1=√4-1=1
x=4,y=√4+5-1=√9-1=2
