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walfrerr
28.08.2020 •
Mathematics
Find g (x)-f(x) g(x)=x^2+1 and f(x)=2x+5
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Ответ:
Step-by-step explanation:
x^2 + 1 - 2x - 5 = x^2 - 2x - 4
Ответ:
(6, 7.2)
Step-by-step explanation:
Since it is an equilateral triangle, all of the side length must be equal.
Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says
(JK/2)² + h² = JL²
putting in the values of JK and JL gives
(6/2)² + h² = 6²
3² + h² = 6²
subtracting 3^2 from both sides gives
h² = 6² - 3²
h² = 27
Taking the square root of both sides gives
h =
h = 5.2
With the value of h in hand, we can now read off the coordinates of L.
The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).
The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).