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3 years ago

write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

Step-by-step explanation:

y = ½x-4

slope of line is ½

slope of any parallel to the line is also ½

point-slope equation for line of slope ½ that passes through (9,-6):

y+6 = ½(x-9)

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Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.

kykrilka [37]

Hello haohaoxNienie!

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

Refer to the attached picture.

<h3>Steps :-</h3>

First find the divisor using the given information (x = - 4).
Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.
We'll get the remainder as 0.
Using the remainder theorem & solving it, we'll get LHS & RHS as 0.
Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

4 0

2 years ago

Each of 10 bins contain 1 piece of fruit. Two bins are oranges, 3 are apples, 4 are peaches, and 1 is a melon. What is the proba

trasher [3.6K]

<h3>The probability of not choosing 2 peaches is $(\frac{13}{15} )$ .</h3>

Step-by-step explanation:

Here, the total number of bins = 10

Total orange bins = 2

Total apples bins = 3

Total peaches bins = 4

Total melon bins = 1

Let E : Event of picking two peaches

So, P(Picking 1 peach ) = $\frac{\textrm{Total peaches in bins}}{\textrm{Total bins}} = \frac{4}{10}$

and P (Picking 2nd peach ) = $\frac{\textrm{Total peaches in bins}}{\textrm{Total bins}} = \frac{3}{9}$

$\implies P(E) = \frac{4}{10} \times\frac{3} {9} = \frac{2}{15}$

So, the probability of not picking 2 peaches = 1 - P(picking 2 peaches)

$= 1 - (\frac{2}{15} ) = \frac{13}{15}$

Hence, the probability of not choosing 2 peaches is $(\frac{13}{15} )$ .

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torisob [31]

The square route would be 6 because 6x6 equals 36.

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Fantom [35]

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Step-by-step explanation:

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2 years ago

write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)​

write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)