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Anton [14]
3 years ago
14

Line segment AB is shown on a coordinate grid:

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

   the figure does not affect by reflection, think of "folding" the

   graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

    the y-axis and used the formula (x, y) → (x, -y) for a reflection in

    the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

<u><em>Note</em></u><em>:</em>

<em>If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.</em>

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The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through du
katen-ka-za [31]

Step-by-step explanation:

oh, come one ! you can literally see that one ...

a full rotation on a clock is a full circle and stands therefore for 360°.

for the minute hand these 360° represent 60 minutes.

4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.

4/60 = 1/15

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so, 4 minutes represent 24°.

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2 years ago
A. Write 64√2 in the form 2^n
xxMikexx [17]

We get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

An expression is a way in which numbers are written.

It can be variables, constants or a combination of both.

We are given an expression:

64 √2

We know that:

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 2⁶

Also, we can write √2 as

√2 = 2⁰°⁵

We get that:

2⁶ × 2⁰°⁵

simplifying the expression, we get that:

= 2⁶⁺⁰°⁵

= 2⁶°⁵

Therefore, we get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

Learn more about expression here:

brainly.com/question/723406

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Can anyone help me out with these two problems please? Thanks!
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If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?
Maslowich

Answer: 7.958 \frac{rad}{s}

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed \omega of the object in revolutions per minute (rpm) is:

\omega=76 rpm=76 \frac{rev}{min} (1)

However, we have to convert this to \frac{rad}{s}, since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

\omega=\frac{2 \pi}{T}  (2)

Where:

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T=1 min=60 s is the period of rotation

With this information in mind, let's make the conversion:

\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev} (3)

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