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3 years ago

Find the slope of a line perpendicular to the equation 3x-y=6

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

6 0

Answer:

$-\frac{1}{3}$

Step-by-step explanation:

The slope of a line perpendicular to a line is the negative reciprocal of the slope of the line given.

The equation of the line is:

$3x-y=6$

$y=3x-6$

The slope of this line is 3.

Thus the negative reciprocal would be $-\frac{1}{3}$

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Write the third missing congruent statement that will allow us to prove the triangles congruent by SAS.

musickatia [10]

Answer:

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3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Please help! I'm not the best at dividing with exponents!

Makovka662 [10]

MrBillDoesMath!

Answer: The first radio button choice 8/3 * m^8

Steps:

120 (m^ 16) / 45 (m^8) =

120/45 * (m^16)/(m^8) =

Simplify 120/45 (15 or 5 *3 divides each). Since base "m" is same in both terms simply subtract exponents.

8/3 ( m^(16 - 8)) =

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4 years ago

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3 years ago

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3 years ago