collect the like terms
4x - 9 = 6-x
4x + x= 6+9
and then complete the equation
5x = 6 + 9
5x = 15
x = 15 ÷ 5
x = 3
Answer:
Step-by-step explanation:
The area of a triangle is
A=bh/2 where b=base dimension and h=height
1) 10(12)/2=60mm^2
2) 14(34)/2=238in^2
3) 9.5(19.25)/2=91.4375yd^2
4) 4.9(23.7)/2=232.26m^2
5) 285=15b/2, 15b=578, b=38ft
6) 17h/2=18.7, 17h=37.4, h=2.2cm
7) 12.25b/2=128.625, 12.25b=257.25, b=21in
Answer:
30 km/h
Step-by-step explanation:
usual speed= x km/h
increased speed= x +10 km/h
distance= 360 km
time difference= 3 h
- 360/x= 360/(x+10) +3
- 360/x= (360+ 3x+30)/(x+10)
- 360(x+10)= x(390+3x)
- 360x+3600= 390x+ 3x²
- 3x² + 30 x -3600=0
- x²+10x-1200=0
- x=30 km/h
Answer
Option (A) is correct .
Reason
The formula for the slope.
As given
Line AB contains (0, 4) and (1, 6) .
put in the slope formula
Slope of the AB is 2.
As given
Line CD contains points (2, 10) and (−1, 4).
put in the slope formula
Slope = 2
Slope of the CD is 2.
As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .
Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.
D: Derrick and his lemonade stand
