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3 years ago

Point (2, 4) is reflected across the x-axis. What are the coordinates of its image?

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

<em>Let us revise the rules of reflection across the axes</em>

If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)

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elena55 [62]

This question is incomplete because the options are missing. Here are the options:

A. - 4 = 5x

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D. -4 + 5x = 0

The correct next line of the solution is A. -4 = 5x

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2 years ago

Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe

satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

$=0.79\times0.21\times0.79\\=0.131061\\\approx0.1311$

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

$=0.79\times0.79\times0.21\\=0.131061\\\approx0.1311$

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

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3 years ago

A gram weighs less than an ounce.

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1 ounce weighs more than a gram

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3 years ago

Select all of the following expressions that are equivalent to 0.25.

lora16 [44]

1. (0.5)2=1

2. (-0.2) + (-0.05) = -0.25

3. |-3 + 2.75| = 0.25

4. -(-0.25) = 0.25

5. 2x - 1.75x = 0.25x

So your answers are 3 and 4.

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3 years ago

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klio [65]

Answer:

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Step-by-step explanation:

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2 years ago