I think this is the answer
Since they are perpendicular the slopes of the two lines must be opposite (meaning they must have opposite signs such as "1" and "-1") as well as be reciprocals (meaning the fraction must be flipped, in example with this problem as the reciprocal of "-4/3" is "-3/4")
the slope of line L must be 3/4
A scale of 1:50 000 means that every centimetre on the map is equal to 50 000 centimetres (500 metres) in reality.
The distance between two towns on that map is 6cm, therefore in reality there’s 6 * 50 000 = 300 000 centimetres, which is equal to 3 000 metres, which is equal to 3 kilometres.
They should have a total of steps as 20
Answer:
x = -4 ±√(7)
or in decimal:
x = -1.35 or -6.65
Step-by-step explanation:
y=x²+8x+9
note x-intercepts occur when y = 0,
Hence, x²+8x+9 = 0 (solve this using your favorite method. We will complete the square)
x²+8x+9 = 0 (rearrange)
x²+8x = -9 (complete the square and add factor to both sides)
x² + 8x + (8/2)² = -9 + (8/2)²
[ x + (8/2) ]² = -9 + (8/2)²
[ x + 4 ]² = -9 + (4)²
[ x + 4 ]² = -9 + 16
[ x + 4 ]² = 7
x+4 = ±√(7)
x = -4 ±√(7)
x = -1.35 or -6.65
