Obtuse triangles have only one obtuse angle. True or false
2 answers:
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The closest point on a line, to another point, will be a point that's on a normal of that line, or a line that is perpendicular to it, notice picture below
so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or
so, we know that line passes through the point 20,0, and has a slope of -1/2
if we plug that in the point-slope form, we get
now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph
thus
solve for "x'
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not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation
so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or
so, we know that line passes through the point 20,0, and has a slope of -1/2
if we plug that in the point-slope form, we get
now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph
thus
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not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: State the number of outcomes possible for three tossing of a coin
Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:
STEP 2: Find the number of sample spaces for the three tosses
STEP 3: Get the outcomes of the events for which the second toss is tails
Hence, the answers are given as:
Sample Space:
The event that the second toss is tails:
