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nevsk [136]
3 years ago
9

Write an equation of the line passing through each of the following pairs of points.

Mathematics
1 answer:
ira [324]3 years ago
7 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{5}}}\implies \cfrac{-10}{-11}\implies \cfrac{10}{11}

\bf \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}{7}=\stackrel{m}{\cfrac{10}{11}}(x-\stackrel{x_1}{5})\implies y-7=\cfrac{10}{11}x-\cfrac{50}{11} \\\\\\ y=\cfrac{10}{11}x-\cfrac{50}{11}+7\implies y=\cfrac{10}{11}x+\cfrac{27}{11}

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Can someone check my answers? I'm not sure I have them all right...
Semmy [17]
<span>What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?

(0, 4, 0) 


Which equation has intercepts at X(1, 0, 0), Y(0, 1, 0), and Z(0, 0, 2)?

2x + 2y + z = 2


Which equation is equivalent to x + 3y + z = 3?


4x + 12y + 4z = 12


Which of the following points lies in the plane 3x + 2y + 4z = 12?

(4, 3,2)


Hope these answer the questions. Have a nice day.</span>
3 0
3 years ago
Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome w
scoray [572]

Answer: 1/6

because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6

7 0
1 year ago
How do you write 70% as a fraction in simplest form ?
alexdok [17]
70% equals to 70/100 in fraction form.
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3 0
3 years ago
Oh lord pls help asap
zepelin [54]

Answer:

1.1(for infinity) or 0.9

Step-by-step explanation:

it depends if you do 90/100 or 100/90

90/100 = 0.9

100/90 = 1.1(for infinity)

so sorry i couldn't figure out specifically what to divide but i hope both of these answers helped you!

4 0
3 years ago
Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea
Varvara68 [4.7K]

Answer: 56,900\left( 0.919\right)^x

Step-by-step explanation:

Given

Marcos purchased a sailboat for \$56,900

Each year the boat will decrease in value by 8.1\%

After 1 year it is

\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\

after another year it becomes

\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2

After x years it is

\Rightarrow 56,900\left( 1-0.081\right)^x

\Rightarrow 56,900\left( 0.919\right)^x

5 0
2 years ago
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