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2 years ago

Solve for x. Leave your answer in simplest radical form

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

7 0

Answer:

sqrt213

Step-by-step explanation:

Attached photo might help you out

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

x = √213

Step-by-step explanation:

Step 1 : Solve for hypotenuse in the right triangle.

h² = 7² + 10²
h² = 149

Step 2 : Solve for x.

x² = h² + 8²
x² = 149 + 64
x² = 213
x = √213

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valentina_108 [34]

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

<h3>What is formula of sum of cubes and difference of cubes?</h3>

Formula of sum of cubes and difference of cubes are following

$(a+b)(a^2 -ab +b^2) = a^3+ b^3 \\\\\\(a - b)(a^2+ ab+ b^2) = a^3 - b^3$

(a)

$(x-4) \left(x^{2}+4 x-16\right)\\=(x-4) \left(x^{2}+4 x-4^2\right)\\\\$

by comparison with formula we can say that this is neither sum or nor difference of cubes.

(b)

$(x-1)\left(x^{2}-x+1\right)\\=(x-1)\left(x^{2}-x+1^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

(c)

$(x+1)(x-1)=x^{2}-1^{2}\\$

we can say that this is neither sum nor difference of cube as it's difference of squares.

(d)

$(x+4)\left(x^{2}-4 x+16\right)\\\\(x+4)\left(x^{2}-4 x+4^2\right)$

by comparison with formula this is equal to

$x^{3}+4^{3}\\$

Hence this is sum of cubes

(e)

$(x+4)\left(x^{2}+4 x+16\right)\\(x+4)\left(x^{2}+4 x+4^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

To know more about cubes visit: brainly.com/question/107100

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2 years ago

2xy+3x+4x+3 if x =5 and y = -5

Stels [109]

Answer:

The answer is -12

Step-by-step explanation:

2xy + 3x + 4x + 3 if x = 5 and y = -5

Now,

2xy + 3x + 4x + 3

2(5)(-5) + 3(5) + 4(5) + 3

-50 + 15 + 20 + 3

38 - 50 = -12

Thus, The answer is -12

-TheUnknownScientist

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2 years ago

The diagram shows a circle of radius 1 contained in a square. If the area of the circle equals x% of the area of the square, the

11111nata11111 [884]

Answer:

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2 years ago

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vazorg [7]

CE = CD + DE = 2DE + DE = 3DE = 8.7

DE = 8.7/3 = 2.9
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3 years ago

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Neporo4naja [7]

Answer:

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Step-by-step explanation:

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3 years ago