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4 years ago

Reflect across the y-axis, and then translate 8 units to the left. (-13, 1) (-14, -4) (-8, -8) (-9, -4)

Mathematics

1 answer:

mr_godi [17]4 years ago

7 0

Change the sign on each x value

Then

Add 8 to each x value

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Answer:

A) 92

Step-by-step explanation:

A full revolution is shown which means it should add up to 360.

To find b, subtract 227 and 41 from 360:

360 = 227 + 41 + b

b = 92

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3 years ago

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2 years ago

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3 years ago

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3 years ago

A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads

Mumz [18]

Answer:

$Sets = 27$

Step-by-step explanation:

Given

$Coin = 1$

$Toss = 5$

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

$(HHHHH)$ , $(HHHHT)$ , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , $(THHHH)$ , $(HTHTH)$ , $(THTHT)$ , $(HHTHH)$ , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(HHHTH)$ , $(TTTHT)$

Next, we list out all outcomes with at most 3 heads

, , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , , $(HTHTH)$ , $(THTHT)$ , , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(TTTHT)$

So, the number of set is:

$Sets = 27$

4 0

3 years ago