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3 years ago

Is the square root of any positive number irrational

Mathematics

1 answer:

ser-zykov [4K]3 years ago

5 0

No because if it is the square root of 100, then it is rational, hope this helps

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9 in<br> 4 in<br> What is the length of the hypotenuse? If necessary, round to the nearest tenth.

lina2011 [118]

Answer:

9.8in

Step-by-step explanation:

i think this right

6 0

2 years ago

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

astraxan [27]

Answer:

D) 125x²¹- 64y³

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
B) 3x⁹ - 64y³ - the first term is not a cube
C) 27x¹⁵ - 9y³ - the second term is not a cube
D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

7 0

3 years ago

Read 2 more answers

Rewrite the following equation in standard form and determine if there is a solution.

Debora [2.8K]

Answer:

| x + 4 | = -1 No solution

Step-by-step explanation:

3 | x + 4 | + 12 = 9

Subtract 12 from both sides: 3 | x + 4 | = -3

Divide both sides by 3: | x + 4 | = -1

Absolute value cannot be negative, so there is no solution.

5 0

2 years ago

Solve the solution. How many solutions does it have? 4(2x-3)=2(4x-6)

sdas [7]

Answer:

No solutions

Step-by-step explanation:

4(2x-3)=2(4x-6)

$4(2x-3)=2 \times 2(2x-3) \\ \\ 4(2x-3)=4(2x-3)$

Same components are present on both sides of equal sign, therefore NO SOLUTIONS are possible.

7 0

3 years ago

Question in attachment

sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$

where a₁ is the first term and r the common ratio

Here $S_{8}$ = 1530 and r = 2, thus

$\frac{a_{1}(2^{8}-1) }{2-1}$ = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0

2 years ago