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Mama L [17]
3 years ago
9

How do I write this in algebraic notation.

Mathematics
1 answer:
Tanya [424]3 years ago
6 0
Y=n to the 2 power -9
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Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
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4 to the 18th power is the answer to your question. 
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3 years ago
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Which descriptions can describe more than one triangle? Select two options.
adelina 88 [10]

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

so

<u><em>Verify each description</em></u>

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

4 0
3 years ago
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Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

Pre-image(x,y)\rightarrow Image(x,-y)

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

(0,2),(4,5),(6,2)

Points of image triangle

(0,-2),(4,-5),(6,-2)

Thus, the transformation is reflection.

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If I ride a bicycle at a rate of 5m/s,how long will it take me to ride a distance of 12km at the same rate?​
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Step-by-step explanation:

given,velocity = 5 m/s

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now,time =?

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2400sec.....ans

=

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Three employees each clocked a different number of hours worked this week which employees has the highest earning per hour
adoni [48]
There ya go hope it helps

3 0
3 years ago
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