Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
Answer:
28
Step-by-step explanation:
since the 5+2 is in parenthesis(don't know how to spell it its these things >( ) if you didn't know) you have to do 5+2 1st so thats 7 then you do 4*7 which is 28
Answer:
y=5/2 +10
Step-by-step explanation:
Find the slope.: Do 15-10 OVER 2-0. This gets you the slope 5/2
Find the y intercept: The y intercept is easy. It is just when the x is 0. You can also think of the y axis as when the line TOUCHES the y axis .
The summation notation for the series 500+490+480+ . . . . . . . +20+10 is
A summation notation is used to express a long summation into a single notation.
The given series is:
500+490+480+ . . . . . . . +20+10
This is an arithmetic series with:
a(1) = 500, and
d = 490 - 500 = -10
The last term is a(n) = 10. Find n first by using the nth term formula of an arithmetic sequence:
a(n) = a(1) + (n-1) . d
10 = 500 + (n-1) . (-10)
10 = 500 -10n + 10
10 n = 500
n = 50
Write the explicit formula for the nth term:
a(n) = a(1) + (n-1) . d
a(n) = 500 + (n-1) . (-10)
a(n) = 500 -10n + 10
a(n) = 510 - 10n
The series is the summation notation from n=1 to n = 50
Learn more about summation notation of a series here:
brainly.com/question/23742399
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Answer:
14
hope this helps :)
Step-by-step explanation:
