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3 years ago

Help pls! It’s due soon

Mathematics

2 answers:

Juliette [100K]3 years ago

6 0

Answer:

x1 = -8 and x2 = 9?

Alja [10]3 years ago

6 0

= x - 8 / x = 2 / x + 9

= Let's solve your equation step-by-step.

= x − 8x = 2x + 9

= x + − 8x = 2x + 9

Multiply all terms by x and cancel:

xx + −8 = 2 + 9x

x² −8 = 9x + 2 ( Simplify both sides of the equation )

x² − 8 − (9x + 2) = 9x + 2 − (9x + 2) (Subtract 9x+2 from both sides)

x² − 9x − 10 = 0

( x + 1 )( x − 10 ) = 0 (Factor left side of equation)

x +1 = 0 or x − 10 = 0 (Set factors equal to 0)

x = − 1 or x = 10

Check answers. (Plug them in to make sure they work.)

<h3>x= −1 ( Works in original equation )</h3><h3>x = 10 ( Works in original equation )</h3><h3 />

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2 years ago

What is the simplified version of 3\sqrt{135}

Aleonysh [2.5K]

Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{\frac{1}{n}}$

Using this property we get

$\sqrt[3]{135}=(135)^{\frac{1}{3}}$

$\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}$ $[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3\times \sqrt[3]{5}$ $[\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

7 0

3 years ago

Read 2 more answers

Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

A bag contains 3 red marbles, 5 green marbles and 7 blue marbles. If Janelle picks one marble out of the bag, what is the probab

lisabon 2012 [21]

3+5+7 = 15 total marbles

3 are red

so she has a 3/15 reduces to 1/5 probability of picking a red one

8 0

3 years ago

What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

mr_godi [17]

There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
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a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm
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_____________________________________________________________

Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles
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x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm
--------------------------------------------------

6 0

2 years ago