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3 years ago

Find the complete factorization of

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

<h3>Option C is correct</h3>

<h3>Let us see the verification;</h3>

$6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)$

<h2>Hence, Proved ✔︎</h2>

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What is the area of triangle RST?

Paraphin [41]

<u>Answer-</u>

$\boxed{\boxed{\text{Area}_{RTS}=9\ unit^2}}$

<u>Solution-</u>

We know that,

$\text{Area}=\dfrac{1}{2}\times\text{Base}\times \text{Height}$

From the diagram,

RS is the base and UT is the height of the triangle.

Applying distance formula,

$RS=\sqrt{(3+3)^2+(2-2)^2}=\sqrt{(6)^2}=6$

$UT=\sqrt{(-1+1)^2+(2+1)^2}=\sqrt{(3)^2}=3$

Putting the values,

$\text{Area}_{RTS}=\dfrac{1}{2}\times6\times3=9\ unit^2$

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4 years ago

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Step-by-step explanation:

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3 years ago

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<h3>The response variable is </h3>

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If a line with slope = 2 passes through the points (4,-8) and (x,2), find x

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Answer:

x = 9

Step-by-step explanation:

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m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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3 years ago