Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
X is horizontal while y is vertical
Answer:
x = (-3±√5)/2
Step-by-step explanation:
Matching the given equation to the pattern ...
... ax² +bx +c = 0
we see that a=1, b=3, c=1.
The solution to the above pattern is given by the quadratic formula ...
... x = (-b±√(b²-4ac))/(2a)
Substituting the values of a, b, c that we found, the formula gives ...
... x = (-3±√(3²-4·1·1))/(2·1)
... x = (-3±√5)/2
