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3 years ago

What is the value of x in this figure?

Mathematics

1 answer:

8090 [49]3 years ago

4 0

This is a 45-45-90 triangle and the ratios of the sides are 1 : 1 : sqrt2 where sqrt2 is the length of the hypotenuse ( longest side)

So the measure of x = 12 sqrt2 which is the first choice.

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Which statement describes the solutions of the equation? 4x/3x+1 = x/2x+10

stiks02 [169]

Answer:

<h3> The equation has one valid solution and no extraneous of solutions.</h3>

Step-by-step explanation:

Given the expression;

4x/3x+1 = x/2x+10

We are to get the nature of the value of x

Cross multiply;

x(3x+1) = 4x(2x+10)

3x²+x = 8x²+40x

Collect like terms;

3x²-8x² + x - 40x = 0

-5x²+x -40x = 0

-5x²-39x = 0

-5x² = 39x

-5x = 39

x = -39/5

<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>

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3 years ago

Read 2 more answers

Order the following numbers from least to greatest 1.9, 1 1/3, 2, 0.5

masya89 [10]

Answer:

0.5, 1 1/3, 1.9, 2

Step-by-step explanation:

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3 years ago

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A.) f(x)=3x^2-18x+27.

Alona [7]

A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none
y-<span>intercepts:</span> (0,-9)

8 0

3 years ago

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HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

Margaret [11]

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

$H = 3x^2y$

The height of the prism is: $3x^2y$

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3 years ago

Find the x-intercept of the rational function.

alexira [117]

Answer:

What question are we supposed to answer

Step-by-step explanation:

Sorry I read the whole thing multiple times and couldn’t find what the question was

If you wanted the points to be graphed use Desmo calculator they graph the points for you:)

8 0

3 years ago