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erma4kov [3.2K]
2 years ago
15

Which is longest?

Mathematics
1 answer:
finlep [7]2 years ago
3 0

Answer:

12cm

Step-by-step explanation:

where:

c

is the hypotenuse, and

a

and

b

are the other two sides (legs).

Let

a

=

9 cm

Rearrange the equation to isolate

b

2

. Plug in the values for

a

and

c

, and solve.

b

2

=

c

2

−

a

2

b

2

=

(

15 cm

)

2

−

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

−

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

√

144 cm

2

Simplify.

b

=

12 cm

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Answer:

A

Step-by-step explanation:

So we have the equation:

3(x-4)^\frac{4}{3}+16=64

First, let's subtract 16 from both sides:

3(x-4)^\frac{4}{3}=48

Now, let's divide both sides by 3:

(x-4)^\frac{4}{3}=16

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:

(\sqrt[3]{x-4})^4=16

Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!

\sqrt[3]{x-4} =\pm 2

Cube both sides. Since we're cubing, the plus-minus stays.

x-4=\pm 8

Add 4 to both sides.

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Calculator:

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So, our answer is A.

And we're done!

7 0
4 years ago
which geometric object is defined as the set of ballpoints in a plane at a given distance A.Parabole B. Line segment C. Line D.
anzhelika [568]

Answer:

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Step-by-step explanation:

7 0
4 years ago
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4vir4ik [10]
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Romashka [77]

Answer:

s = 10

______________

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3 0
3 years ago
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If the difference of two numbers is 43 and the sum of the numbers is 13, what<br> are the numbers?
meriva

Answer:

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Step-by-step explanation:

Mark first number X, and second number Y, then:

x-y=43

and

x+y=13

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4 0
4 years ago
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