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3 years ago

Which expressions are equivalent to 2^5.2^4? Check all that apply.

Mathematics

2 answers:

USPshnik [31]3 years ago

5 0

Answer:

$2^9$

Step-by-step explanation:

$2^5 \times 2^4$

The law of exponents says that when the base is same in multiplication, add the exponents.

$2^{5+4}$

$=2^9$

The answer is 2 to the power of 9.

goldfiish [28.3K]3 years ago

4 0

The answer is 2 to the power out of

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Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

$a^{2} +b^{2} =c^{2}$

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

$a^{2} + (5^{2}) = (13^{2})$

Solve for the other leg:

$a^{2} + 25 = 169$ Square what's in the parentheses from above

$a^{2} = 144\\$ Subtract 25 from 169

$\sqrt{a^{2} } = \sqrt{144}$ Square root both sides

a = 12 cm

Thus, the length of the other leg is 12 cm.

Let's check our answer:

$12^{2} +5^{2} =13^{2}$ Square everything

144 + 25 = 169 Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0

2 years ago

2/3 divided by 1/4 in its simplest form

rewona [7]

Answer:

8/3

Step-by-step explanation:

to divide by a fraction multiply the reciprocal

2/3×4

calculate the product

2×4=8

8/3

5 0

3 years ago

Read 2 more answers

A newspaper prints that the average square footage of a house in Cleveland is significantly less than 2,379 square feet.

tatyana61 [14]

Answer: i’m confused on what the question is

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The graph of the function f(x) = (x - 3)(x + 1)

djyliett [7]

Answer:

The graph is positive and decreasing for all real values of x where x < -1

Step-by-step explanation:

we have

$f(x)=(x-3)(x+1)$

The function is a vertical parabola open up

The roots (x-intercepts) are x=3 and x=-1

The vertex is the point (1,-4 ) is a minimum

using a graphing tool

see the attached figure

we know that

In the interval (-∞,-1) ---> the function is positive and decreasing

In the interval (-1,1) ---> the function is negative and decreasing

In the interval (1,3) ---> the function is negative and increasing

In the interval (3,∞) ---> the function is positive and increasing

therefore

The graph is positive and decreasing for all real values of x where x < -1

8 0

3 years ago

The ordered pairs (4,5) and (4,-5) are reflected points. Are the locations of these points reflected on the y or the x axis?

My name is Ann [436]

The two coordinates' x variables are the same, while the y variables change. This means that it is reflected over the x axis. Reflecting over the y axis would cause a change in the x variable, as it would have to move sideways, so this can't be the case since the x variable stays as 4 even after the reflection.

8 0

3 years ago