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3 years ago

What is the equation of the line that passes through the point (6,−4) and has a slope of -1/6

Mathematics

1 answer:

Luda [366]3 years ago

6 0

Answer:

y + 4 = (-1/6)(x - 6)

Step-by-step explanation:

Apply the point-slope formula here: y - k = m(x - h) becomes

y + 4 = (-1/6)(x - 6)

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Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?

ICE Princess25 [194]

Answer:

answer will be 67

Step-by-step explanation:

f(x) = 61 - x

x = -6

hence we substitute the value of x in f(x)

f(-6) = 61 - (-6)

= 61 + 6

= 67

3 0

3 years ago

Long division<br> 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

inna [77]

$(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)$

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

$6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\$

We repeat previous steps until we run out of numbers:
$3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2$
$\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}$

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
$(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )$

6 0

3 years ago

What equation could be written for this table?

kkurt [141]

Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

7 0

2 years ago

Carter hikes from the top of a hill that is 120 2/3 feet above sea level down

egoroff_w [7]

Answer:

77 feet

Step-by-step explanation:

Difference is asking for subtraction. The equation would look like:

Top of Hill - Valley = X

(P.S.- 2/3 is equal to . 67)

120.67 - 43.67 = 77

Marking as Brainliest is much appreciated.

5 0

3 years ago

Finish multiplying<br> 10/3 ⋅11/12?

Mazyrski [523]

When multiplying fractions, just multiply straight across

10 x 11 = 110
3 x 12 = 36

110/36 is your answer

3 1/18 is simplified mixed fraction

hope this helps

5 0

3 years ago

Read 2 more answers