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Inessa [10]
3 years ago
6

On the graph of the equation X-4Y= -16 what is the value of the Y-intercept?

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

we can always find the x-intercept by simply settting y = 0, and solving for "x".

and we can always find the y-intercept by simply setting x = 0 and solving for "y".


\bf x-4y=-16\implies \stackrel{x=0}{0-4y=-16}\implies y=\cfrac{-16}{-4}\implies y=4
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill (0,4)~\hfill

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ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R
shutvik [7]

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Step-by-step explanation:

A translation in R^{2} is a mapping T from R^{2} to R^{2}  defined by T(x,y) = (x + v_1,y+v_2), where v=(v_1,v_2) is a fixed vector in R^{2}.

From the problem we know that T(2,4)=(3,2), so we need to find the values v_1 and v_2 such that  T(2,4) = (2 + v_1,4+v_2)=(3,2), so 3=2 + v_1 and 4+v_2=2, thus v_1=1 and v_2=2.

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Hope this helps!

3 0
3 years ago
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