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Alhamdulillah, starting in January 2010, the Department of Mathematics Education FPMIPA, Universitas Pendidikan Indonesia, opened the opportunity to readers, especially high school/vocational school students, junior high school students, and elementary/mi students, anywhere to consult about mathematics or information about universities in Indonesia.
To that, we invite you to actively participate in this consulting room. The consultation is free!
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Wassalam.
Caregiver
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The answer to the first questioner (Denisha).
Answer question 1.
Suppose a point that is 5 against (3, 2) is (x, y). Using the spacing formula, then we get:
$latex sqrt{(x-3)^2 + (y-2)^2} = 5$
$latex (x-3)^2 + (y -2)^2 = 25$
Well, the dots that have a distance of 5 to the points (3, 2) are the same as the dots located in the circles centered on (3, 2) and radius 5. By checking the answer options, the points that meet are (0, 6), (6, 6), and (-2, 2).
Then, since the point you are looking for should also be 1 to the y = 7 line, the matching points are (0, 6) and (6, 6).
Answer question 2.
$latex a sinx + b cosx = c$ will have a set of solutions that are not empty if $latex -sqrt{a^2 + b^2}$ $latex leq$ $latex c$ $latex leq$ $latex sqrt{a^2 + b^2}$.