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3 years ago

Choose the monetary amount that is equivalent to 2 . $2.03 $0.30 $ 0.03 $ 2.30

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

$2.03 is the closest for being equivalent to 2

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A circle is translated 4 units to the right and then reflected over the x axis. What statement will always be true of the circle

Olin [163]

Answer:

The statements are not given, so i will answer it in the most general way possible:

First, let's recall two things:

Horizontal translation.

For a number A positive, we can move the graph of f(x) by A units to the right by the transformation g(x) = f(x - A)

Reflection over x

For a point (x, y), a reflection over the x-axis transforms this point into (x, - y).

Now let's analyze the problem:

A generic circle, of radius R and centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2 = R^2.

Now let's translate this 4 units to the right:

(x - 4 - a)^2 + (y - b)^2 = R^2.

or in standard circle notation:

(x - (4 + a))^2 + (y - b)^2 = R^2.

Now the circle is centered in the point (a + 4, b).

Now let's do a reflection over the x-axis.

This means that the sign of y changes, so now we have:

(x - (4 + a))^2 + (-y - b)^2 = R^2.

But because the term with y is squared, this is the same than:

(x - (4 + a))^2 + (y + b)^2 = R^2.

Or, in standard circle notation:

(x - (4 + a))^2 + (y - (-b))^2 = R^2.

Then the circle is now centered in point (a + 4, -b).

So now you know where the circle is located, and also you can see that the radius of the circle never changed.

3 0

3 years ago

"Based on the following construction, which of the following are true? choose all that apply."

umka21 [38]

From the diagram,

Angle

Bisecting an angle means dividing the angle into two equal part.

1/2 m

$\begin{gathered} \text{ } \\ \\ \end{gathered}$

4 0

1 year ago

Brianna is solving a directed line segment question. Part of the problem reads: Y lies on segment XZ such that the ratio of XY t

goldenfox [79]

Answer:

⅕

Step-by-step explanation:

Given that points X, Y, and Z are collinear, and X is said to partition segment XZ in the ratio XY to XZ = 1:5, it means that segment XY = ⅕ of XZ. That is XY/XZ = ⅕

See attachment below to understand how point Y divides segment XZ.

Therefore, the k value Brianna would use when solving the problem should be the fraction, ⅕.

k value = XY/XZ = 1/5

8 0

3 years ago

What is 5000000 times 21113221

earnstyle [38]

Answer:

1.0556611e+14

Step-by-step explanation:

1.05566105 + 14

5 0

4 years ago

How do you write numbers in scientific notation?

77julia77 [94]

Example:
123456 in scientific notation would be
1.23456x10^5
you rewrite the number so it is less than 10 but more than 1 and multiply it by 10 to the power of however many decimal places it takes to get the number back to its original form

8 0

3 years ago