Answer:
If line EF was dilated by a scale of 1/2 from the origin to get line E'F', then if line E'F' is dilated by a scale of 2 from the origin, EF is obtained. Also, the length of EF is double than the length of E'F'.
Dilation by a scale of 2 from the origin transforms point (x,y) into (2*x, 2*y)
E'(1,0) -> E(2,0)
F'(1, 3) ->F(2, 6)
length of E'F': 3
length of EF: 6
Answer:
-1
Step-by-step explanation:
We need to simplify the given expression . The given expression is ,
Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,
Using this property , we have ,
This can be written as ,
Simplifying using ( a+b)(a-b) = a² - b² ,
Subtracting the numbers inside the brackets ,
Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .
Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>
Answer:
Step-by-step explanation:
a = 5
r = -5
n = 9
t_9 = a r^(n - 1)
t_9 = (-1)^n*5 (-5) ^ 8
t_9 = (-1)^9 * 5 * (-5) ^8
t_9 = -1 ( 1953125)
t_9 = - 1953125
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
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Answer:
102
Step-by-step explanation:
triangle area = 180 degrees
straight line = 180 degrees
180 - 127 = 53
49
49 + 53 + 3rd angle = 180
3rd angle = 78
180-78 = x
x = 102