Answer:
3) D
4) B
5) A
6) 2 (x + 7)
Step-by-step explanation:
3)
D. Distributive Property
The distributive property of multiplication over addition can be used when you multiply a number by a sum.
4)
B. 2 + 8 = 8 + 2
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.
5)
A. 4 x 1 = 4
The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.
6)
3 ( x + 3) - X + 5
3x + 9 - x + 5
2x + 14
2 (x + 7)
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
b
b/c when it's rearranged large to small
Answer:
2km
Step-by-step explanation:
Distance = Speed ÷ Time
Distance = 3 ÷ 1.5 (as 1 hour and 30 minutes is an hour and a half)
Distance = 2km
Answer:
x = 0, y = 2, and z = -1
Step-by-step explanation:
