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2 years ago

What is a pattern for 7 times 10 to the third power?

Mathematics

1 answer:

gogolik [260]2 years ago

3 0

7(10)³ it would look like this if you were to write it out, not sure how to answer your question but here you are.

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What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is 44. The length is 5 less than double the width. What is the length?

OleMash [197]

$44 = 2x - 5 \\ \frac{39}{2} = \frac{2x}{2} \\ 19.5 = x \\$

4 0

2 years ago

In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many

Y_Kistochka [10]

Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama

6 0

2 years ago

Read 2 more answers

Factorise fully 12x³ - 30x²

MariettaO [177]

Answer:

6x² (2x - 5)

Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

5 0

2 years ago

The area of a rectangle is x^2+2x-24 Which of the following could be one of the dimensions?

Leno4ka [110]

Answer: (x-4)

Step-by-step explanation:

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15

3 0

2 years ago