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alexdok [17]
3 years ago
6

Which two lines are parallel?

Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

  • 3x + y = -2
  • 2y = -6x – 8

Step-by-step explanation:

When the equations are written in the same form, the ratio of x coefficient to y coefficient is the same for parallel lines.

These equations in the same form are ...

  • 3x +y = -2
  • -6x +2y = 4
  • 6x +2y = -8

The first and last of these equations have a ratio of x-coefficient to y-coefficient of ...

  (x-coefficient)/(y-coefficient) = 3/1 = 6/2

so the lines are parallel.

The second equation has a ratio that is the opposite of this.

__

<em>Alternate approach</em>

You can put each equation into slope-intercept form (solve for y). The x-coefficient is then the slope of the line. Parallel lines** have equal slopes.

  • y = -3x -2 **
  • y = 3x +2
  • y = -3x -4 **

_____

I find a graphing calculator to be a big help for many problems involving equations and their characteristics.

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The graph is shown for the equation y = –x + 4.
ivann1987 [24]

Answer:

Option C. y=-\frac{1}{2}(2x-8)

Step-by-step explanation:

we know that

If a system of two linear equations has an infinite number of solutions, then both equations must be identical

The given equation is

y=-x+4

<u><em>Verify each case</em></u>

Option A. we have

y=-4(x+1)

apply distributive property

y=-4x-4

Compare with the given equation

-x+4 \neq -4x-4

Option B. we have

y=-(x+4)

remove the parenthesis

y=-x-4

Compare with the given equation

-x+4 \neq -x-4

Option C. we have

y=-\frac{1}{2}(2x-8)

apply distributive property

y=-x+4

Compare with the given equation

-x+4=-x+4

therefore

This equation with the given equation form a system that has an infinite number of solutions

Option D. we have

y=x+4

Compare with the given equation

-x+4 \neq x+4

7 0
3 years ago
X+4+3(x)=x-8<br> Answer this for me
Grace [21]

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

3 0
3 years ago
Read 2 more answers
Sketch the points (0,5,2),(4,0,-1),(2,4,6) and(1,-1,2) o a single set of coordinate axes?
nordsb [41]

Explanation:

As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.

Points are given in the format as below

(value of x-coordinate , value of y-coordinate , value of z-coordinate)

In the attachment:

Point A = (0,5,2) (in blue color)

Point B = (4,0,-1) (in purple color)

Point C = (2,4,6) (in orange color)

Point D = (1,-1,2) (in black color)

7 0
3 years ago
Please Help!!!
myrzilka [38]

Answer:

A. principal interviewed the 25 students who scored highest on a reading test.

D. For a report on the exercise habits of adults, Sergio talked to 30 adults at a local fitness center.

E. Josh asked the first 25 people he met at the dog park if they preferred dogs or cats.

Step-by-step explanation:

Biased means if the selection of every unit does not have an equal chance of being selected in a sample.

The sample is said to be good if choosing the unit is unbiased. The sample is said to be unbiased if the selection of each unit is independent.

Option A is an example of data selected in a biased way because principal chose only those student who scored the highest marks on reading test.

Options B and C are unbiased as here a selection of each number and name of the student has an equal chance of being selected.

Option D is biased because Sergio talked adults at a local fitness center where people go for maintaining their health. So, there is a chance of the selection of fitted adults more than unfitted adults.

Option E is biased because Josh met people at the dog park where dog lovers are more than a cat lover.

7 0
3 years ago
Read 2 more answers
The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is .
Morgarella [4.7K]

Answer:

10

Step-by-step explanation:

"three times r" = 3r

"three times r minus ten" = 3r - 10

"product of 5 and the difference of three times r minus ten"

= 5 (3r - 10)

given that r = 4,

the expression becomes

5 (3r - 10)

= 5 [3(4) - 10]

= 5 [12 - 10]

= 5 (2)

= 10

4 0
3 years ago
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