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Ainat [17]
4 years ago
7

Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:

Mathematics
1 answer:
Vikentia [17]4 years ago
6 0

Answer:

  C)  Reflection about the origin

Step-by-step explanation:

DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.

The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)

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Plzz Help me!! Have to have this submitted by tonight!
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3 years ago
What is the next term of the following sequence? <br><br><br> 20, 10, 5, 21/2, ...
ycow [4]

Answer:

1 \frac{1}{4}

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

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6 0
3 years ago
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
lesya [120]

Using the domain, it is found that x = -8 is excluded for the product.

The domain of a function is the <u>set that contains all possible input values</u>.

  • In a fraction, the <u>denominator cannot be 0</u>.

In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.

For the first fraction, they are:

3x^2 + 6x = 0

3x(x + 2) = 0

3x = 0 \rightarrow x = 0

x + 2 = 0 \rightarrow x = -2

Hence, x = -2(not an option) is excluded.

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For the second fraction, the roots of the denominator are:

x^2 + 11x + 24 = 0

Which is a quadratic equation with <u>coefficients</u> a = 1, b = 11, c = 24, hence:

\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25

x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8

x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3

x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.

A similar problem is given at brainly.com/question/13136492

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3 years ago
Breakfast starts at 7:30 AM and ends at 8:20 AM. How long was breakfast?
olya-2409 [2.1K]

Answer

50 minutes

Step-by-step explanation:

8:20 - 7:30

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4 years ago
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