Answer:
Distributive Property
Step-by-step explanation:
7 equals (3+4).
Therefore, 4*7 equals 4*(3+4).
By distributive property, this will equal (4*3) + (4*4)
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Answer:
-22
Step-by-step explanation:
4 + 9 + (16 ÷ 4 - 8 - 3) × 5
= 13 + (4 - 8 - 3) × 5
= 13 - 7 × 5
= 13 - 35
= -22
Answer:
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0. We have 4/6, 36/8, and 12/18
1. Simplify the fractions: 2/3, 9/2, 2/3
2. Order them: 4/6 and 12/18, 36/8