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3 years ago

Determine the value of k and h if 3x+ky+2=0 and 5x-y+h=0 are equations of same line.

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

k = -3/5

h = 10/3

Step-by-step explanation:

3x + ky + 2 = 0

5x - y + h = 0

Divide both sides of the first equation by 3. Divide both sides of the second equation by 5.

x + (k/3)y + 2/3 = 0

x - (1/5)y + h/5 = 0

Since both equations represent the same line, the corresponding terms must be equal.

x = x

(k/3)y = -(1/5)y

2/3 = h/5

Solve the first equation for k and the second equation for h.

k/3 = -1/5

k = -3/5

h/5 = 2/3

h = 10/3

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3.65 e8

Step-by-step explanation:

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3 years ago

Kelsey graphed the equation y = 3x + 1 as shown below.

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Answer:

D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Step-by-step explanation:

The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1

However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;

m=Δy/Δx where

m=the slope of the graph

Δy= 3-0 =3

Δx= 0--3 =3

m=3/3 = 1

The equation of the line should be;

m=Δy/Δx

1=y-3/x-0

1x= y-3

3+1x= y

y= 1x + 3 ----------where the slope is 1 and y-intercept is 3

So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.

While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.

Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.

Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.

Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3

Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.

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3 years ago

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denpristay [2]

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3 years ago

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Answer: the old price for 1 liter is $0.3

Step-by-step explanation:

Let x represent the old price for 1 liter of petrol.

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3 years ago