Answer:
the one that looks closest to this
Step-by-step explanation:
-2x^2 + 3x - 9 = 0
The quadratic is not factorable so quadratic formula must be used.
x = (-b + - √(b^2 - 4ac))/2a
a = -2, b = 3, c = -9
x = (-3 + - √(9 - 4*-2*-9))/-4
x = (-3 + - √(-63))/-4
x = -3 + - 3i√7
--------------
-4
x = 3 + 3i√7 x = 3 - 3i√7
------------ ------------
4 4
First, the dot stands for the "product". You have to multiply.
5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28
The final answer is 5/28~
Answer:
Step-by-step explanation:
Answer: Side QR
Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:
5x - 27 +4x - 7 + 3x + 10 = 180
12x = 204
x = 17
With x, solve for the angles:
m∠P = 5(17) - 27 = 58
m∠Q = 4(17) - 7 = 61
m∠R = 3(17) + 10 = 61
The relationship between angles and sides in any triangle:
- the largest angle is opposite the largest side;
- the middle angle is opposite to the middle-sized side;
- the shortest angle and side are opposite to each other;
So, the shortest side of PQR is the side opposite to the shortest angle.
The shortest angle is m∠P = 58°. Therefore, the shortest side is QR
