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3 years ago

What is the domain of the function y = 2 StartRoot x minus 6 EndRoot?

Mathematics

2 answers:

PolarNik [594]3 years ago

4 0

Answer:

6 less-than-or-equal-to x less-than infinity

Step-by-step exhplanation:

y = 2(x - 6)^½

x - 6 》0

Because square root of negative values is not real

x - 6》0

x》6

This is the same as:

6《x < infinity

mariarad [96]3 years ago

3 0

Answer:

Step-by-step explanation:

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area

Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

$3:2$

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

$C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle$

If we define:

$C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2$

Then, the ratio of the circumference of two circles is 3:2 is:

$\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}$

The area of a circle is given by:

$A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius$

So the ratio of their area can be found as:

$\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2$

So:

$\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}$

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

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3 years ago

Sue has $100 saved to buy concert tickets that go on sale in 8 weeks. She plans to save $15 every 2 weeks. Will Sue have enough

Katen [24]

Answer:

she wont have enough money.

Step-by-step explanation:

she is saving money every 2 weeks. 8 divided by 2 is 4, so we'd have 15 x 4 which is 60. then we'd add it to 100, which would be 160, then divide it by 4, which would roughly come down to 40 dollars each, meaning we would not have enough money for 4 tickets

5 0

3 years ago

Read 2 more answers

Activity 2

Vsevolod [243]

The unknown is 2% and sorry

7 0

3 years ago

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has

Bas_tet [7]

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

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3 years ago

128.09 to the nearest tenth

vaieri [72.5K]

Answer:

128.1

Step-by-step explanation:

Since this is rounding to the nearest tenth , we look at the first number after the decimal place it's 0 so we look at the second number after the decimal place which is 9 , this rounds 0 up to 1

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3 years ago