For this case we must simplify the following expression:
We must add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major sign is placed.
Thus, the simplified expression is:
Answer:
That's just the distance between 2 points
the distance between (x1,y1) and (x2,y2) is
we can find the distance between S and Q or P and R
S and Q is (0,0) and (a,b)
distance between P and R is between(0,b) and (a,0)
so the lengths of diagonals are congruent
Answer:
(-8/7 ; 5/7)
Step-by-step explanation:
5t + 1/2s = 3 - - - (1)
3t - 6s = 9 - - - - - (2)
Multiply (1) by 12 and (2) by 1
Add the result to eliminate s
60t + 6s = 36
3t - 6s = 9
____________
63t = 45
t = 45 / 63
t = 5/7
Put t = 5/7 in either (1) or (2) to obtain the value of s
3(5/7) - 6s = 9
15/7 - 6s = 9
-6s = 9 - 15/7
-6s = (63 - 15)/7
-6s = 48/7
s = 48/7 * - 1/6
s = - 8/7
Answer: 12 inches
Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.
Area = median · height
We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.
So the length of the median of the trapezoid is 12 inches.
When two secants (Line A + B<span> and </span>Line C + D) intersect, they form an angle (∠y) equal to:
½ (the larger intercepted arc minus<span> the smaller intercepted arc)
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(Make sure to look at the graphic I posted)
