Positive cosine is first or fourth quadrant. So we don't know the sign of the sine or the tangent.
Everybody's favorite right triangle is 3/4/5 and here we have
So if
then
and
if the mean score of 12 students in maths is 5 and the mean score of another 10 students is 6. Calculate the average score of 22
2 answers:
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1. (10m - 14) + 9 = 12 1. Given
2. 5m - 7 + 9 = 12 2. Distributive Property
3. 5m + 2 = 12 3. Simplify (added like terms)
4. 5m = 10 4. Subtraction Property of Equality
5. m = 2 5. Division Property of Equality
The equation is
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be
=
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
The slope is =
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes: