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professor190 [17]
2 years ago
15

What is an equation of the line that passes through the points (6,2) and

Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

(\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8

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A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth
Pachacha [2.7K]

Answer:

Biography= 8/24= 1/3

Science Fiction= 6/24= 1/4

Step-by-step explanation:

The probability for biography is (biography/total amount of books.)

8/24= 1/3

The probability for science fiction is (science fiction/ total amount of books.)

6/24= 1/4

6 0
3 years ago
Which expression has a value that is equivalent to 5n+13 when n= -15
Rasek [7]
Which expression has a value that is equivalent to 5n+13 when n=-15? n^2+13x 








6 0
3 years ago
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Write as a unit rate: 66 miles to 3 gallons *
gladu [14]

Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

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3 years ago
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A certain forest covers an area of 4600km. Suppose that each year this area decreases by 7.75%. What will the area be after 13 y
wolverine [178]

Answer:

1679.60\ km^2

Step-by-step explanation:

-We can use the exponential decay function to estimate the size after 13 years:

P_t=P_oe^{-rt}

Where:

P_t is the size after t years, t is the time, r is the rate of decay and P_o the original size.

#We substitute and calculate as:

P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60

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4 0
3 years ago
If k-9=5(k-3)find k​
jok3333 [9.3K]

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

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3 years ago
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