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)
THEY WOULDNT EVER BE THE SAME. MAYBE AT 0 MONTHS??
Answer:
c is equal to 4
Step-by-step explanation:
Answer:
D) -5/3
Step-by-step explanation:
(Points on the graph): (6, 10) and (12, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-10)/(12-6)
m=(-10)/6
m = -5/3
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3