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igomit [66]
3 years ago
5

Which pair of equations below represent parallel lines? and y = 9 and x = 18 y = 4x + 9 and y = 4x – 9 y = 5x + 15 and y = –5x +

15
Mathematics
2 answers:
Elena L [17]3 years ago
7 0

Answer:

Option B.

Step-by-step explanation:

If two lines are in the form of y = mx + c and y' = m'x' + c'

and the given lines are parallel then their slopes will be same.

For this condition m = m'

Now we will analyse each option for the condition that the given lines are parallel lines.

Option A. y = 9 and x = 18

These lines are horizontal and vertical lines so they are not parallel.

Option B. y = 4x + 9 and y = 4x - 9

y = 4x + 9 slope of the line is m = 4

y = 4x - 9 slope of this line is m' = 4

Slopes are same so both the lines are parallel.

Option C. y = 5x + 15 and y = -5x + 15

for y = 5x + 15 slope m = 5

for y = -5x + 15 slope m' = -5

Slopes are not equal so the lines are not parallel.

Option B. is the answer.

Inessa05 [86]3 years ago
3 0

Answer:

The correct option is 2.

Step-by-step explanation:

The slope of two parallel lines are equal.

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

In option 1, the equation of lines are

y=9

x=18

The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.

In option 2, the equation of lines are

y=4x+9

y=4x-9

By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.

Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.

In option 2, the equation of lines are

y=5x+15

y=-5x+15

By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.

Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.

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8 0
2 years ago
∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles
Mnenie [13.5K]

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

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Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

4 0
3 years ago
Classify the limaçon represented by the equation r=(1/2)-(1/2)sin(theta)
babunello [35]
We know that

Limacons are in the form
r=a(+-)b*sin (theta)  or r=a(+-)b*cos (theta)

in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
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see the attached figure

the answer is the option
<span>A. Cardioid </span>

4 0
3 years ago
This is 70 points I will report anyone who answers wrong just for points! I will be asking TWO questions Please answer correctly
Ratling [72]




QUESTION 1: In these type of question, the easiest way to get the answer is try to plug in the x and y values from the options given in the equation given, So in the first question all the choice except C are more then 14 if you plug in x and y's, for eg, if you plug in x = 3 and y = 2 , you get (3+3)2 = 14 6 x 2 = 14 12 is not equal to 14, so this eliminates this choice but if you chose C you get, (11+3)1 = 14 14 = 14 so this makes C the solution for first question and for the second question do the same thing, and the answer will be D. Hope this helps




QUESTION 2: 5xy + 9 = 44

5xy = 35

xy = 7

solution pairs are:

C. (1, 7) and (7, 1)

not mentioned: (-1.-7) and (-7, -1)






Hope this helps



Plzz don't forget to rate and thanks me


8 0
3 years ago
I really need help <br> Dz,2 of X is<br> (0-4)<br> (2,-2)<br> (6,2)
kvv77 [185]

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

<em>Additional comment</em>

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

8 0
3 years ago
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