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.
<span>A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?</span>
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ 
...(equation 1)
or,
⇒ 
...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ 
...(equation 3)
⇒ ...(equation 4)
From equation 3 and 4, we get
⇒ 
By putting the values of "y" in equation 1, we get
⇒ 
Thus the value of x be "24 pounds".
So look at the patterns.
How much bigger is 15 to 3?
Answer = 5x bigger.
What is 5x smaller than 40? (in other words, 5 x ? = 40)
Answer = 8!
So, the missing 'x' = 8
