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svetoff [14.1K]
3 years ago
10

Here are the equations of 4 straight lines. Two of these lines are parallel what are the two parallel lines? A) y=2x+4. B) 2y=x+

4. C) 2x+2y=4. D) 2x-y=4. ?
Mathematics
1 answer:
Alchen [17]3 years ago
6 0
Put ur equations in y = mx + b form and compare the slopes(m) and the y intercepts (b). Parallel lines will have the same slope but different y intercepts.

A) y = 2x + 4....slope is 2, y int is 4
B) 2y = x + 4
     y = 1/2x + 2.....slope is 1/2 and y int is 2
C) 2x + 2y = 4
     2y = -2x + 4
     y = -x + 2.....slope is -1 and y int is 2
D) 2x - y = 4
    -y = -2x + 4
     y = 2x - 4....slope is 2 and y int is -4

ur parallel lines will have same slope and different y int.....so ur answer is A and D.
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Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees

Read more about bearings at:

brainly.com/question/24142612

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4 0
2 years ago
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Ede4ka [16]

Answer:

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Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

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2 years ago
What's the slope of (10,-8) and (2,-6)
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Step-by-step explanation:

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3 years ago
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nikitadnepr [17]
It would be a³ b ^4.

Hope This Helps You!
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8 0
3 years ago
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