Activity 3
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST = 
PQ , so
5x - 22 = (3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
The temperature 6 hours after day break is 53 degrees
Step-by-step explanation:
The temperature was 65 degrees at daybreak. Then it dropped two degrees per hour until dusk. This decrease in temperature can be modeled by the equation,
y = -2x + 65
according to this equation
y= temperature after day break
x= no of hours ( in this case 6)
So equation becomes
y= -2 (6) +65
y= 65- 12
y= 53 degrees
So the temperature 6 hours after day break is 53 degrees
Keywords: Algebra
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Answer:
2 1/5
Step-by-step explanation:
You can never have a negative variable, meaning you have to divide by -1 on both sides.
Therefore, the answer would be...
x< 3
You reverse the inequality symbol because you are dividing by a negative number
Hope this helps
