Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
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Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
Answer:
What is the test that you can do to tell if a graph represents a function?
A
the horizontal line test
B
the vertical line test
C
the expression test
D
the litmus test
Step-by-step explanation:
d
Answer:
x<=2
Step-by-step explanation:
-5x+19>=9
-5x>=9-19
-5x>=-10
5x>=10
x>=10/5
x>=2
x<=2
Answer:
8/11.
Step-by-step explanation:
There are a total of 11 balls.
At least one of those picked is green means that 1 or 2 green balls are picked in the two trials.
Prob (First one picked is green) = 5/11.
Prob( second one picked is green) = 4/10 = 2/5.
Therefore Prob ( Green then green) = 5/11 * 2/5 = 10/55 = 2/11.
The other possibilities are Green then Yellow OR Yellow then Green.
The probabilities of these are worked out as above and come to
5/11 * 6/10 and 6/11 * 5/10
= 300/110 and 30/110
= 3/11 and 3/11.
Finally the Prob ( 2G OR G&Y OR Y&G) = 2/11 + 3/11 + 3/11
= 8/11.
I just realised there is an easier way to do this. Much less work.
The only other thing that can happen other than ' at least one green' is '2 yellows' so the required probability is
1 - prob(2 yellows)
= 1 - (6/11 * 5/10)
= 1 - 30 /110)
= 1 - 3/11
= 8/11.
But never mind. I hope the above is instructive and helps you understand.
Answer:
Ezra will have 5 ounces of water leftover
Step-by-step explanation:
I first divided 4,005 by 16 to get 250.3125, which I rounded to 250. Then I multiplied 250 by 16 to get how many ounces Ezra used, which is 4,000. Then I subtracted that value from how many ounces she had to get how many she had leftover.