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3 years ago

If 11^-x=4, what does 11^2x equal

Mathematics

2 answers:

gtnhenbr [62]3 years ago

8 0

Answer:

1/16

Step-by-step explanation:

If 11^-x=4, then 11^x=1/4.

If 11^x=1/4, then 11^2x=(1/4)^2 which equals 1/16.

max2010maxim [7]3 years ago

3 0

Answer:

0.0625

Step-by-step explanation:

11^-x = 1/(11^x). if that equals four, 11^x = 0.25. 0.25^2 = (11^x)^2 = 11^2x. 0.25^2 = 0.0625. Hope this helps.

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Which of the following is an extraneous solution of (45 minus 3 x) Superscript one-half Baseline = x minus 9?

STALIN [3.7K]

The extraneous solution of the given radical equation is x = 3

<h3>Finding the extraneous solution:</h3>

Here we have the radical equation:

$\sqrt{45 - 3x} = x - 9$

We want to get the extraneous solution, to get it, we first need to square both sides of the equation, so we get:

$(\sqrt{45 - 3x} )^2 = (x - 9)^2\\\\45 - 3x = x^2 - 18x + 81$

Now we got a quadratic equation, we can rewrite it as:

$x^2 - 18x + 81 + 3x - 45 = 0\\\\x^2 - 15x + 36 = 0$

To solve this we use Bhaskara's formula, we will get:

$x = \frac{15 \pm \sqrt{(-15)^2 - 4*1*36} }{2*1} \\\\x = \frac{15 \pm 9}{2}$

Then the two solutions are:

x = (15 + 9)/2 = 12

x = (15 - 9)/2 = 3

<h3>Which one is the extraneous solution?</h3>

Let's evaluate both solutions in our original equation and let's see which is the one that does not work:

for x = 12 we have:

$\sqrt{45 - 3*12} = 12 - 9\\3 = 3$

This is true.

For x = 3 we have:

$\sqrt{45 - 3*3} = 3 - 9\\\\6 = -6$

This is false, so the extraneous solution is x = 3.

If you want to learn more about extraneous solutions, you can read:

brainly.com/question/2959656

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2 years ago

mike made a fruit basket of the total fruit 5 were apples 5/8 were bananas and 1/4 were oranges,how many pieces of fruit did mik

SIZIF [17.4K]

Answer: 5 7/8

Step-by-step explanation: 5 + 5/8 + 1/4= 5 7/8

3 0

3 years ago

Need help with translation

sergij07 [2.7K]

Answer:

The translation rule will be: (x, y) → (x+3, y+9)

Step-by-step explanation:

As X'Y' is a translation of XY.

As the location of the vertix X is (-4, -9) and the coordinates of vertex Y is (-5, -5).

As X'Y' be the vertices of the translated figure.

So, if we translate the segment XY +3 units in the x-direction and +9 units in the y-direction, i.e.

(x, y) → (x+3, y+9) = (-4+3, -9+9) = (-1, 0) = X'

and

(x, y) → (x+3, y+9) = (-5+3, -5+9) = (-2, 4) = Y'

so, the image X'Y' will have the X' vertice at the location (-1, 0) and Y' vertice at the location (-2, 4).

Therefore, the translation rule will be: (x, y) → (x+3, y+9)

6 0

3 years ago

The 53 students go to a nearby Italian restaurant for lunch. Each table holds 5 people. How many tables will the group need

Digiron [165]

Answer:

They will need 11 tables

Step-by-step explanation:

The first 10 will seat 5, the 11th will seat the final 3.

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3 years ago

Read 2 more answers

What are the basic rigid motions? *

Ostrovityanka [42]

The basic rigid motions are A) Translation, reflections and rotations

In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.

A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).

-------------------------

A turn is also called A) rotation

A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.

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3 years ago