For the equation y = 3x - 2, which of the following is a point on the graph of this equation?

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)?

Leya [2.2K]

Answer:

(-8, 3), (8, -3)

Step-by-step explanation:

Point symmetry about origin means reflection of the given point about the origin.

The reflection of a point about the origin will cause the 'x' and 'y' value of the point to change its sign.

Therefore, the coordinate rule for point symmetry about the origin is given as:

$(x,y)\to (-x,-y)$

Now, let us check each of the given options.

Option 1:

(-8, 3), (8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3)

So, option 1 is correct.

Option 2:

(-8, 3), (-3, 8)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-3, 8)

So, option 2 is not correct.

Option 3:

(-8, 3), (-8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-8, -3)

So, option 3 is not correct.

Option 4:

(-8, 3), (8, 3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (8, 3)

So, option 4 is not correct.

Hence, only option 1 is correct.

5 0

3 years ago

Casey wants to buy a gym membership. One gym has a $70 joining fee and cost $35 per month. Another Jim has no joining fee and co

irga5000 [103]

Answer:

same amount at 2 months. he'd pay 140.

Step-by-step explanation:

35(month) +35(month) =70(joining fee). 70+70=140. that's two months at the first gym.

the second gym is also 140 for the two months because each month is $70. and 70+70=140

6 0

3 years ago

A train leaves the station at 9:00 pm traveling east at 36 miles per hour. A second train leaves the station at 10:00 pm traveli

sveta [45]

The answer is c.6:00 am

Sorry if wrong

7 0

3 years ago

What is the value of the negative zero of the function, f, defined by<br> f(x) = x^2 - 16

Lelu [443]

Answer:

x = -4

Step-by-step explanation:

f(x) = x² - 16

This is the difference of squares

which factors as

f(x) = (x - 4)(x + 4)

Therefor the negative zero is

x = -4

8 0

3 years ago

as Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. convert this speed to miles per mi

3241004551 [841]

Given:

Speed = 6 miles per second

If the Saturn revolves 6 miles in 1 second then the speed is:

$\begin{gathered} In\text{ 1 second distance is 6 miles} \\ So\text{ in 60 second distance is =6}\times60\text{ miles} \\ =360 \end{gathered}$

So speed in minutes is 360 miles per min.

In 3 minutes traveling distance is:

$\begin{gathered} =360\times3 \\ =1080 \end{gathered}$

3 0

1 year ago