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DanielleElmas [232]
3 years ago
13

Choose the correct simplification of (5x3 − 5x − 8) + (2x3 + 4x + 2).

Mathematics
2 answers:
irinina [24]3 years ago
7 0
5x^3 - 5x - 8 + 2x^3 + 4x + 2 

7x^3 - x - 6 (some like terms)
Inessa [10]3 years ago
5 0

Answer:

The simplified form of the given expression is 7x^3-x-6.

Step-by-step explanation:

The given expression is

(5x^3-5x-8)+(2x^3+4x+2)

5x^3-5x-8+2x^3+4x+2

Combine like terms,

(5x^3+2x^3)+(-5x+4x)+(-8+2)

7x^3+(-x)+(-6)

7x^3-x-6

Therefore the simplified form of the given expression is 7x^3-x-6.

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Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie wants to get some exercise.
Leona [35]

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

5 0
2 years ago
Thrush us a landscape architect. For his first public project he is asked a small scale drawing of a garden to be placed in the
ehidna [41]

Answer:

Therefore, on the graph;

The height = 7.5 units

And base = 5.0 units

Attached is an image for further information;

Step-by-step explanation:

Given that;

1 unit on the grid represent 2m of the garden;

Ratio = 1/2 unit/m

For the height;

height h = 15m

On the graph;

h = 15m × 1/2 unit/m

h = 7.5 units

For the base;

Base b = 10m

On the graph;

b = 10m × 1/2 unit/m

b = 5 units

Therefore, on the graph;

The height = 7.5 units

And base = 5.0 units

6 0
2 years ago
Which of the terms given can you write in the blank box so that the
Serhud [2]
The blank box should be equal to 4
5 0
2 years ago
In the drawing below, label the distances given for the peak you chose
earnstyle [38]
Notice the larger triangle is a right-triangle, and the small one is also a right-triangle.  Also notice the "angle tickmark" on each.  So both angles have a pair of angles that are equal on each.

the triangles are similar by AA.
3 0
2 years ago
Read 2 more answers
AB≅BC≅CD≅DE, AD = 8x - 4, AB = x + 2 solve for AB
Levart [38]

Just solve for , then substitute back into either expression and calculate either BC or AD. The other one is then the same amount.


The one about the square is the same thing except you don't care how the figure is named because all 4 sides are equal anyway. Just set the two expressions equal to one another and then solve for  



4 0
3 years ago
Read 2 more answers
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