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Aleksandr-060686 [28]
3 years ago
11

2) simplify the expression completely assume (x > 0)

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

D

Step-by-step explanation:

the 2 square root terms can be combined under one large square root.

and the general multiplication factor of 2 remains on the outside.

2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =

2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)

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I need help with these 2 questions.
ahrayia [7]

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                              = \frac{1}{2}\times 4\times 3

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

7 0
2 years ago
A guitar is on sale for 20% off the original price. Let p represent the original price. What expressions can be used to calculat
Gala2k [10]
20% off so, u are paying 80%
80% = 0.8
0.8p
5 0
3 years ago
Read 2 more answers
A certain laundry detergent recommends \frac{1}{4}
Ray Of Light [21]

Answer:

2

Step-by-step explanation:

\frac{1}{4} a cup detergent for \frac{1}{2} a load of clothes would mean for each full load, it would take \frac{1}{2} a cup of detergent.

Thus if you have 4 load of clothes, which is 8 half loads. You can take that 8 half loads and multiply \frac{1}{4} by 8. This gives you 2 cups of detergent.

3 0
3 years ago
Russell sold 40 shares of a stock. The value of each share has decreased by $1 since he bought the stock. Express the amount Rus
lozanna [386]

Answer:

Integer = -40

Step-by-step explanation:

40 x -1

= -40

Therefore, -40 is the integer.

3 0
3 years ago
What is 10.4% as a fraction?
AlladinOne [14]
10.4% as a fraction is 104/1000
6 0
3 years ago
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