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Helga [31]
3 years ago
14

SIMPLE QUESTIONEvaluate:(square root of 99 - square root of 11)^2

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

44

Step-by-step explanation:

(\sqrt{99} - \sqrt{11})^2 =

= (\sqrt{9 \times 11} - \sqrt{11})^2

= (3\sqrt{11} - \sqrt{11})^2

= (2\sqrt{11})^2

= 2^2 \times (\sqrt{11})^2

= 4 \times 11

= 44

Answer: 44

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Write the simplest polynomial function with the given roots 2i, square root of 3, and 4
Volgvan

Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3)      <<< Possible answer

but this can be reduced even further.

  • (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
  • (x + 2i)(x - 2i) = x^2 - 4(i)^2
  • (x + 2i)(x - 2i) = x^2  + 4.               Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

5 0
3 years ago
Which inequality statement describes the two numbers on a number line? "16 and a number 10 units to the left of 16" A) 6 &gt; 16
Ivenika [448]
The answer is c because the two numbers on a number line 16 will be greater then 10
4 0
3 years ago
Write a real world problem that you would represent with the equation 4x+5=37.
umka2103 [35]
If there were 37 apples. One of your friends took 5 apples. You divided the leftover apples and gave it to your four friends. How many apples did each of the four friends get?

x=8
37-5=32
32/4=8.
8 0
3 years ago
Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)​
iris [78.8K]

Answer:

=\left(-5,\:-\frac{5}{2}\right)

Step-by-step explanation:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)

7 0
3 years ago
Identify the slope using the graph below,
Mariana [72]

Answer:

-3

Step-by-step explanation:

8 0
3 years ago
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