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NeX [460]
3 years ago
8

Find the slope-intercept form of the equation of a line that passes through the given points.

Mathematics
2 answers:
anygoal [31]3 years ago
7 0

Answer:

y=3x+b

Step-by-step explanation:

finding slope:

slope= y2-y1/x2-x1

-2--5/3-2

3/1

slope is 3

i'm not sure how to find the y-intercept using this format but hope this kinda helped!

Lelu [443]3 years ago
5 0

Answer:

y=3x-11

Step-by-step explanation:

(2,-5) (3,-2)

\frac{x_{1}-x_{2}  }{y_{1}-y_{2}  }\\\\

\frac{2_{1}-3_{2}  }{-5_{1}--2_{2}  }\\

= \frac{3}{1}

= 3

y=3x+b

-5=3(2)+b

-5=6+b

-11=b

-----------------------------

Hope I helped!!!! :-)

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Desarrollar por el metodo de reduccion: 1. si: { 3x+ 2y = 26 { 5x - y = 26 hallar: e= x +y
Ahat [919]

We got the value of e=\frac{78}{7} by solving the given equations 3x+2y=26 and 5x+y=26 by reduction method.

<h2>What is reduction method?</h2>

The reduction or elimination approach includes using arithmetic operations between equations to produce equivalent equations with fewer unknowns that are simpler to analyze and evaluate.

Given equations are

3x+2y=26 .........(1)

5x+y=26 ...........(2)

We need to find the value of e=x+y

Simplifying the given equation (2) and we get

5x+y=26\\\Rightarrow y=26-5x................(3)

Now, substitute the equation (3) in equation (1) and we get

3x+2(26-5x)=26\\\Rightarrow 3x+52-10x=26\\\Rightarrow -7x+52=26\\\Rightarrow -7x=26-52\\\Rightarrow -7x=-26\\\Rightarrow x=\frac{26}{7}

Substitute the value of x in equation (3), we get

y=26-5\frac{26}{7} \\\Rightarrow y=26-\frac{110}{7}\\\Rightarrow y=\frac{162-110}{7}\\\Rightarrow y=\frac{52}{7}\\

Now adding the values of x and y, we get

\therefore e=\frac{26}{7}+\frac{52}{7}\\\Rightarrow e=-{[\frac{26+52}{7}]\\\Rightarrow e={[\frac{78}{7}]

Therefore, the value of e=\frac{78}{7}.

To learn more about reduction method from the below link:

brainly.com/question/13107448

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Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 1
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Answer:

If 6 planters= $18

then, 16 planters= 16× 18÷6

                             =$48

Step-by-step explanation: Hope this helps

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What is the area of the garden?
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Answer:

42 square meters

Step-by-step explanation:

rectangle: 3 x 6= 18 square meters

square: 4 x 5= 20 square meters

triangle: 4 x 2 x 1/2= 4 square meters

18 + 20 + 4= 42 square meters

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Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.
ratelena [41]

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: u_{x x}+u_{y y}=0

  • We must determine whether a given function is the solution to a given Laplace equation.
  • If a function is a solution to a given Laplace's equation, it satisfies the solution.

(1) u=e^{-x} \cos y-e^{-y} \cos x

Differentiate with respect to x as follows:

u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x

Differentiate with respect to y as follows:

u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x

Supplement the values in the given Laplace equation.

e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0

The given function in this case is the solution to the given Laplace equation.

(2) u=\sin x \cosh y+\cos x \sinh y

Differentiate with respect to x as follows:

u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y

Differentiate with respect to y as follows:

u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y

Substitute the values to obtain:

-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

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