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Varvara68 [4.7K]
3 years ago
7

Line l contains the points (3,1) and (4,4). If line m is a different line, parallel to line l in the same coordinate plane, whic

h of the following could be the equation of line m?
a. y = 3x - 8
b. y = 1/3x - 3
c. y = -3x - 8
d. y = 3x + 1
e. y = -8x + 3
Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

Slopes of parallel lines are same. Here l and m are parallel, so their slopes must be equal.

Given two points of line l, so we can calculate slope of l.

Points are (3,1) and (4,4),

            m_l=\frac{y_2-y_1}{x_2-x_1}=\frac{4-1}{4-3}=3

Equation of line l,

          y - y₁ = m(x-x₁)

          y - 1 = 3( x -3)

           y = 3x - 8

Slope of line line l = Slope of line line m = 3

The options are given in the form, y = mx + c

Slope of option A = 3 ( But it is the equation of line l)

Slope of option B = 1/3

Slope of option C = -3

Slope of option D = 3 ( slope is same)

Slope of option E = -8

So we can see option D is the correct answer.

pickupchik [31]3 years ago
5 0
First you need to fine the slope
3,1
4,4
The slope with be m= 3
then put it in point slope from
y-1=3(x-3)
y-1=3x-9
y=3x-8

so the answer with be "A"

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The distance travelled from the starting point is 29 km , the bearing is 344 degree

The missing diagram is attached with the answer.

<h3>What is Bearing Angle ?</h3>

It is the horizontal angle between the object and another object.

It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250

(a) the distance travelled from the starting point

It can be understood from the diagram that

To determine the distance , b is to determined4

By applying Cosine rule

b² = a² +c²-2ac cos\rm \theta

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To determine the bearing ,

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C = 85.59 degree

angle C = α +70 degree

α  = 15.59 degree

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