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Minchanka [31]
3 years ago
14

Identify properties used in each step in rewriting the polynomial expression below: (x + 5) + 3(a + (6x)y) Step 1: (5 + x)+3(a +

(6x)y) Step 2:5 + (x + 3(a + (6x)y) Step 3:5 + (x + 3a + (18x)y) Step 4:5 + (x + 3a +18xy)
Mathematics
1 answer:
8090 [49]3 years ago
5 0
In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis. 
In step 4, multiplication is done.
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Total compensation $94060. First, establish the value of the benefit package by calculating 22% X 73000 = 16060. Next, add the benefits to the salary 73000 + 16060 = 89060 and now add the $5000 raise for a new total of 94060 in total compensation.
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Write an equation in point-slope form for the line that passes through
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Answer:

y+2=3(x+1)

Step-by-step explanation:

y-(-2)=3(x-(-1))

y+2=3(x+1)

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3 years ago
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3 years ago
2x − 4y = 40,<br> −x + 2y = −20<br><br> Find x and y intercept
Basile [38]

Answer:

The x and y intercept are (20,0)

Step-by-step explanation:

2x-4y=40—eqn1

-x+2y=-20—eqn2

Make x the subject of eqn2

-x=-20-2y

x=20+2y

plug this into eqn 1

2(20+2y)+4y=40

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8 0
2 years ago
Please answer #s 7,11,12, and 13 thanks please really quick
soldier1979 [14.2K]

7) Area trapezoid = (B+b).H/2, but the Median is equal to (B+b)./ 2

84 =12 . H ==> H = 84/12 ==> H = 7


11) Area Equilateral triangle inscribe in a cercle with Radius R = 2√3

Area = (B.. Altitude) / 2. Calculate H, the altitude. The altitude in an equilateral triangle bisects the opposite side. Apply Pythagoras
(2√3)² = (√3)² + H² ==> 12 = 3 + H² ==> H² = 9 & H = 3
Hence Are = (2√3 x 3) /2 ==> 3√3 unit² or 5.2 unit²

12) Area of regular hexagone with perimeter =12

regular hexagone  is formed with 6 equilateral triangles with
each side =12/6 = 2 units
Let's calculate the area of 1 equilateral triangle. Follow the same logic as in problem 11 & you will find that Altitude = √3, Area =(2.√3)/2 =√3 =1.73 Unit³

13) a) Circumference of a circle : 2πR==> 2π(30) =60π = 188.4
b) Area of a circle =πR³ ==> π(30)² = 900π = 2,826 unit² 


5 0
3 years ago
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