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Liono4ka [1.6K]
2 years ago
13

3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (1

2,-6)
a)y = -1/4x + 12
b)y = -1/4x - 3
c)y = -1/4x - 6
d)y= -1/4x + 3
Mathematics
2 answers:
asambeis [7]2 years ago
8 0

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3

Veronika [31]2 years ago
7 0

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

Because it is the "<u>Correct Answer</u>"

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The measure of an angle is 140°. What is the measure of its supplementary angle
Darina [25.2K]

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are angles in which their measures combined add up to 180 degrees. So we can set up an equation:

140+x=180

x=40

So the other supplementary angle is 40 degrees

7 0
3 years ago
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13.23 is the answer for that equation
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Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Harrizon [31]
<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

5 0
3 years ago
If y =- 5x + 3, find the value of x when y = 13.
zmey [24]

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have  10=5x. Then you would divide 5 by 5 and 10. You will get x = 2  

:)

3 0
2 years ago
[[ 20 POINTS IF YOU ANSWER THIS QUESTION CORRECTLY. ]]
dezoksy [38]

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

3 0
3 years ago
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