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vodka [1.7K]
1 year ago
13

Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are perp

endicular because they have the same slope of −2. They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept. They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept
Mathematics
2 answers:
Makovka662 [10]1 year ago
8 0

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

Let's solve each equation for y and put it in the y = mx + b form. Then m is the slope, and we can tell if the lines are parallel or perpendicular or neither.

2x - 4y = 8

-4y = -2x + 8

<em>y = 1/2 x - 2; </em><em>m = 1/2</em>

4x + 2y = 8

2y = -4x + 8

<em>y = -2x + 4; </em><em>m = -2</em>

Now that both equations are in the slope-intercept form, we see that the slopes are 1/2 and -2.

The slopes are opposite reciprocals, -2 and 1/2, so the lines are perpendicular.

Answer: They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Alisiya [41]1 year ago
6 0

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16

When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.

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Lionel is planning a one-day outing.
pychu [463]

Answer:

Option B - y=5x+40 and  y=3x+60

Step-by-step explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Solution :

Let x be the number of rides and

y be the cost per ride.

According to question,

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

The equation form is y=40+5x

The Splash water park charges an entry fee of $60 and an additional $3 per ride.

The equation form is y=60+3x

Therefore, The required system of equations form are

y=5x+40 and  y=3x+60

So,Option B is correct.

6 0
2 years ago
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In a certain region, the number of highway accidents increased by 20% over the four years period. How many accidents were there
erma4kov [3.2K]

Equation:

a  =    5120  

r     =     1  +    .2     =     1 . 2

f (n )   =     5120 *  1 . 2^n - 1

N    =          4      years


f ( 4 )  5120 *  1 . 2^4 - 1

5120 *  1 . 2^3

We want to know, The number of Highway Accidents in Four Years.

Answer:    8,847 Highway Accidents total:






Hope that helps!!!!!!!!!!!                                                            : )


7 0
2 years ago
The Diagram shows a polygon composed of rectangles
Igoryamba

To find perimeter you add up all the sides so the answer is 210

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2 years ago
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John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is
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Answer:

Answer C: Becky is 27; John is 31

Step-by-step explanation:

1. John is 4 years older than Becky--27(Becky's age)+ 4=31(John's age)

2. Sum of their ages is 58--27(Becky's age)+31(John's age)=58

So, the correct answer is Answer C.

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2 years ago
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A student wants to know how far above the ground the top of a leaning flagpole is. At high​ noon, when the sun is almost directl
MariettaO [177]

Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem.  Therefore, the distance of the top of the pole to the ground is:

14 in = 1.1667 ft

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The distance of the top of the pole to the ground is 15.43 ft.

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