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1 year ago

State the equation for each of the lines on the following graph?

Mathematics

1 answer:

Arlecino [84]1 year ago

5 0

The equation of the lines are as follows;

y = -3x + 5

y = 6 / 5 x - 6

y = 6

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows;

y = mx + b

where

m = slope
b = y-intercept

Therefore, using the points,

(1, 2)(3, -4)

m = -4 - 2 / 3 - 1 = -6 / 2 = -3

2 = -3(1) + b

b = 2 + 3

b = 5

y = -3x + 5

(0, -6)(5, 0)

m = 6 / 5

Therefore,

-6 = 6 / 5(0) + b

b = -6

y = 6 / 5 x - 6

(0, 6)(1, 6)

m = 6 - 6 / 1 - 0 = 0

6 = 0(0) + b

y = 6

learn more on equation of a line here: brainly.com/question/26266144

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Find the function of f(x)=2x-3

vazorg [7]

Sorry, But I had to put my answer as a screenshot because Brainly thought it was a link.

4 0

1 year ago

Apply green’s theorem to evaluate the integral 3ydx 2xdy

Ne4ueva [31]

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of $\int\limits_c 3ydx+2xdy$ be -xy

<h3>What is Green's theorem?</h3>

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$

Using green's theorem, we have

$\int\limits_c Mdx+Ndy$ = $\int\int\〖(N_{x}-M_{y}) \;dxdy$ ............................... (1)

Here $N_{x}$ = differentiation of function N w.r.t. x

$M_{y}$ = differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, $N_{x}$ = $\Luge\frac{dN}{dx}$

= $\frac{d}{dx} (2x)$

= 2

and, $M_{y}$ = $\Huge\frac{dM}{dy}$

= $\frac{d}{dy} (3y)$

= 3

Now using Green's theorem

= $\int\int\〖(2 -3) dx dy$

= $\int\int\ -dxdy$

= $-\int\ x dy$

= $-xy$

The value of $\int\limits_c 3ydx+2xdy$ be -xy.

Learn more about Green's theorem here:

brainly.com/question/14125421

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3 0

1 year ago

6. A landscaping company ordered 13 plants and 4 trees for a total of $487. If plants are $8 each write and solve a linear equat

Lady_Fox [76]

Answer:95.75

Step-by-step explanation:

13x + 4y = 487

13*8 + 4y = 487

4y = 487 - 13*8

y = (487 - 13*8)/4

y = dollars per tree = 95.75

7 0

2 years ago

Read 2 more answers

Which two answers are correct ?

notsponge [240]

Answer:

Choice A) x and f(x) approach negative infinity

Choice D) x and f(x) approach positive infinity

Step-by-step explanation:

A cubic curve starts low and ends high if the leading coefficient is positive, which in this case it is. This means that the left side of the graph falls while the right side rises. Your teacher might say something like "fall to the left, rise to the right" to describe what the end behavior is doing.

More formally "fall to the left" means that as x approaches negative infinity, y = f(x) is approaching negative infinity as well. Similarly, "rise to the right" indicates that as x approaches infinity, y = f(x) heads off to infinity as well. Both x and y = f(x) move in the same direction along their respective number lines; eg, if one goes in the negative direction, then so does the other.

The graph below confirms the answer visually.