Given quadrilateral ABCD with sides, 3, 3, 5, 5 respectively, identify the type of quadrilateral
2 answers:
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Answer: (-2,-5)
Step-by-step explanation:
The rotation rule for rotating a figure about is given by :-
, where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)
Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).
If the triangle is rotated 270° about point N
Then, the coordinates of M , will be :
(Using the rule described in (1))
Hence, the coordinates of M after rotated 270° about point N=(-2,-5).
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
Hi there!
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.
~ Hope it helps!
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.
~ Hope it helps!
Hello there,
3 1/4 - 1 7/8 as a mixed number
Answer: