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tangare [24]
3 years ago
5

Simplify square root of negative 121. −11i 11i −11 11

Mathematics
2 answers:
julsineya [31]3 years ago
5 0
The answer is 11i because...
Square root of -121= square root of 121i = 11i
zalisa [80]3 years ago
3 0

The answer would be 11i

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Write as a product 27a^3−(a−b)^3
jarptica [38.1K]

Answer:

  (2a +b)·(13a^2 -5ab +b^2)

Step-by-step explanation:

The factorization of the difference of cubes is a standard form:

  (p -q)^3 = (p -q)(p^2 +pq +q^2)

Here, you have ...

  • p = 3a
  • q = (a-b)

so the factorization is ...

  (3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q

  = (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit

  = (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms

6 0
3 years ago
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
sveticcg [70]

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

7 0
2 years ago
Solve for : x 4(x+5)=3(x-2)-2(x+2)
Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

( 4 × x ) + ( 4 × 5 )

4x + 20

Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

5 0
3 years ago
a rectangle has an area of 102 cm2. the length of the rectangle is 17 cm. what is the perimeter of the rectangle?
Kruka [31]
Area = length *width 

102 = 17*w

w = 102/17 = 6 

l=17
w=6

perimeter = 2l +2w
p = 2(l+w)
p=2*23

p = 46 cm 

hope helped 
4 0
3 years ago
What is the slope of the line shown in the graph? (4 points)<br> 5<br> 4<br> 1<br> 0<br> 10
Softa [21]

Answer:

There is no graph

Step-by-step explanation:

Post the graph and I can help you.

6 0
3 years ago
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