Answer:
exponential growth 3%
Step-by-step explanation:
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
5x²+13x-4-17x²-7x+19+15x²+5x-21x-7=
=5x²+15x²-17x² +(13x-7x+5x-21x) -4-7+19=
=3x²-10x+8
Answer:
- 5x+3
- x -7
- -x +7
Step-by-step explanation:
Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.
__
1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3
__
2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7
__
3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7
_____
<em>Additional comment</em>
Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.
<span>y= 1/2 x -7 point s are(-3,-2)
m=1/2
y-y1=m(x-x1)
y+2=1/2(x+3) parallel lines have same slope</span>
