Answer:
(a) The product of the sum of a and b and their difference.

(b) The tripled product of 6a and b².

(c) The difference of the squares of 2m and 7n.

Answer:
x^2+2x+2
Step-by-step explanation:
If the roots of the equation are -1\pm i, then by the zero product rule:

You can confirm this with the quadratic equation:

Hope this helps!
Answer:
168 km
Step-by-step explanation:
Let x represent the distance Tyler drives at the slower speed, and let y represent the distance at the higher speed. Using time = distance/speed, we can write equations for the total travel time:
x/42 +y/105 = 2.5
x/28 +y/60 = 4.0 . . . . . 1.5 hours more than the usual 2.5 hours
Multiplying the first equation by 210, we have ...
5x +2y = 525
Multiplying the second equation by 420, we get ...
15x +7y = 1680
Subtracting 3 times the first of these equations from the second, we have ...
(15x +7y) -3(5x +2y) = (1680) -3(525)
y = 105
Putting this into the very first equation, we get ...
x/42 + 105/105 = 2.5
x/42 = 1.5 . . . . . . subtract 1
x = 63 . . . . . . . . .multiply by 42.
The total distance to Tyler's parents' house is ...
63 km + 105 km = 168 km
Answer:
Range of player's height = 9 inch
Step-by-step explanation:
Given:
Number of players Height range
4 66-67
8 68 -69
14 70-71
9 72-73
1 74-75
Find:
Range of player's height
Computation:
Range = Maximum value - Minimum Value
Range of player's height = Maximum height of a player - height of a player
Range of player's height = 75 inch - 66 inch
Range of player's height = 9 inch
Answer:
<h3>x = (-2)</h3><h3>y = 2</h3>
Step-by-step explanation:
2x + 3y = 6________( 1 )
-3x + 5y = 10_______( 2 )
( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )
( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )

y = 2 ,
