A. Yes because it passes the vertical line test
Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:
We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:
- y = a —> horizontal line; slope is 0.
- x = a —> vertical line; slope is undefined.
- For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
- For x = a, any a-values would have same y-values or range.
Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.
Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.
Answer
- The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.
I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!
9x+1+32x+1=36
Combine like terms
41x+2=36
Subtract 2 from both sides
41x=34
X= 41/34 or 1.2
The anser is 14 I guess because there are 14 marbles in total giving you 14 outcomes
Answer: 80 minutes
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each tank:
An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.
So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)
- Tank 1 =0 (empty )+ 6m =6m
The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.
So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)
Since both tanks will have the same amount of water:
6m = 1200-9m
Solving for m (minutes):
6m+9m= 1200
15m = 1200
m= 1200/15
m= 80 minutes
Feel free to ask for more if needed or if you did not understand something.