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3 years ago

Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A' ?

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Reflecting something over the x-axis is just converting (x,y) to (x,-y). In this case, your answer is (2,4). : )

Mashcka [7]3 years ago

7 0

When you reflect the figure over the x-axis, you should have a new coordinate of (2,4) for A.

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Answer:

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Step-by-step explanation:

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3 years ago

Show your work. What is 93 divided by 3 using repeated subtraction.

tamaranim1 [39]

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So, we can do
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3 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

6. (5 points) What is 3loga + logb − logc written as a single logarithm?

Jobisdone [24]

Answer: $log(\frac{a^3b}{c})$

Step-by-step explanation:

You need to use the following Properties of Logarithms:

$1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})$

Given the following expression:

$3log(a) + log(b) - log(c)$

You can follow these steps in order to write it as a single logarightm:

- Apply the first property shown above:

$=log(a)^3 + log(b) - log(c)$

- Apply the second property:

$=log(a^3b)- log(c)$

- Finally, apply the third property:

$=log(\frac{a^3b}{c})$

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3 years ago

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers