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laila [671]
3 years ago
13

Simplify 2/√3-√2 Simplify √15b^5/25

Mathematics
1 answer:
Scrat [10]3 years ago
4 0
2/ (√3-√2)=2(√3+√2) / (√3-√2)(√3+√2)=2(√3+√2) / (3-2)=2(√3+√2)

√(15 b⁵/25)=b²√(3b/5)
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Which polynomial function could be represented by the graph below?
Zinaida [17]

Answer:

third answer

Step-by-step explanation:

The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.

  • factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
  • set the factored polynomial equal to 0 => -2x(x^2+x-6)
  • divide both sides by -2x => 0 = x^2+x-6
  • factor => (x+3)(x-2) = 0
  • find zeros by setting both factors equal to 0 => x=-3, x=2

This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.

6 0
3 years ago
a) On Wednesday, Harry sold 3 times as many candy bars as on Tuesday. On Thursday, he sold 5 times as many bars as on Wednesday.
Alborosie

Answer:

Tues=8 Weds=24 Thurs=120

Step-by-step explanation:

The question can be modeled by the equation x+3x+15x=152

x is the amount sold on tuesday, 3x is 3 times the amount sold on tuesday so it represents wednesday and 15x represents thursday as it is 5 times the amount sold on wednesday.

Now we just need to solve for x to figure out how many he sold each day.

x+3x+15x=19x

19x=152

x=152/19

x=8

To find the amount sold on each day just mulitiply x by the coefficient

Tuesday = x = 8

Wednesday = 3x = 3*8 = 24

Thursday = 15x = 15*8 = 120

4 0
2 years ago
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total tr
Elena L [17]

Answer:

1/3

Step-by-step explanation:

120/360 = 12/36 = 2/6 = 1/3

6 0
3 years ago
A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of
melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

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The diameter of the Moon is about 3476 kilometers the distance from the earth of the Moon is about 384,400 kilometers. about how
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111 moons could be lined up. 384400/3476
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