Eight hundred seventy six thousand five hundred forty three.
The coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
<h3>What are the coordinates of the vertices of the image?</h3>
The vertices of the preimage of the triangle are given as:
L = (4, -6)
M = (5, -1)
N = (7, -3)
The rotation is given as: 180 degrees counterclockwise
<h3 />
The rule of this rotation is
(x, y) => (-x, -y)
So, we have:
L' = (-4, 6)
M' = (-5, 1)
N' = (-7, 3)
Hence, the coordinates of the vertices of the image are L' = (-4, 6), M' = (-5, 1) and N' = (-7, 3)
Read more about rotation at:
brainly.com/question/4289712
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Hi there! Hopefully this helps!
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It <u>decreased by 30 cents</u> per week.
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The average <em>rate of change</em> is calculated as:
the <u>ratio of the sum of the change</u> in the three weeks <u>divided by</u> <u>the number of weeks. (</u>The <em>number of weeks</em> being <u>3</u>)
<em>Rate of change</em> =
.
(-60 + -10 + -20 = -90). So, to <em>simplify</em> it:
= <u><em>-30</em></u>
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Incase you are confused:
Since the average <u>rate of change</u> is <em>negative</em>, this means that the <u>stock price</u> has <em>decreased</em>.
Answer:
2 seconds
Step-by-step explanation:
Given
h = - 32t² + 64t
When the frisbee lands the height h = 0, that is
- 32t² + 64t = 0 ( multiply through by - 1 )
32t² - 64t = 0 ← factor out 32t from each term
32t(t - 2) = 0
Equate each factor to zero and solve for t
32t = 0 ⇒ t = 0
t - 2 = 0 ⇒ t = 2
t = 0 represents when the frisbee was thrown
and t = 2 when it lands
Hence it takes 2 seconds for the frisbee to land.
3/8x=6.
x=6*8/3.
x=2*8.
x=16.
Nicole started with 16 feet of string.