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2 years ago

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A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality t

hat represents the situation.

2 answers:

hichkok12 [17]2 years ago

6 0

Answer:

1. B

2. D

3. D

Step-by-step

took it on edge

Alex787 [66]2 years ago

5 0

Answer:

For the pull out menu it was B

Step-by-step explanation:

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Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

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2 years ago

Read 2 more answers

Solve using the Quadratic Formula:<br><br> 3x2−12x−9=0

Mrrafil [7]

Answer:

x²+x-1=0

3x²-12x-9=0

Undefined

3 0

2 years ago

Help this is trigonometry I think 35 points!!

kolezko [41]

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

4 0

2 years ago

The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.

ad-work [718]

Take the sqrt of both sides of <span>(x+2)^2=10:

x+2 = plus or minus sqrt(10)

Solve for x: x = -2 plus or minus sqrt(10)

Evaluate x: x = -2 + sqrt(10) AND x = -2 - sqrt(10) (answers)

</span>

5 0

2 years ago

A circle has a circumference of 25.12 inches what is the diameter of the circle

BigorU [14]

Answer:

8

Step-by-step explanation:

Recall these two equations for circumference and diameter.

Circumference = 2*pi*radius

Diameter = radius*2

25.12 = 2*pi*radius

Radius = 4

Diameter = 4*2 => 8

Thus the diameter is 8

4 0

2 years ago