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3 years ago

Write the polynomial in factored form x^3-2x^2-35x=

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

Answer:

x=6, x=−5 or x=9

Explanation:

f(x)=(x−6)(x+5)(x−9)

If all of the linear factors are non-zero, then so is their product f(x).

If any of the linear factors is zero, then so is their product f(x).

So the zeros of f(x) are precisely the values of x which make at least one of the linear factors 0, namely: 6, −5 or 9.

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Which number produces an irrational number when added to 2 over 5

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Adding square any number of a square root will result in an irrational number

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3 years ago

A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6)

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Answer:

Answer is A - (1, 3) and (2, 6)

Step-by-step explanation:

(1, 3) • 2

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= (2, 6)

Ratio: 2/2, 6/2

Therefore, the answer is A.

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Identify the triangle ratio used and then use it to solve for the missing information (Round answer to 2 decimal places)

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4 years ago

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

In case of KM:

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

In case of ST:

$(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)$

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago