Answer:
2,-1.5
Step-by-step explanation:
To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.

=

=2,-1.5
N + 1 = 4(n – 8)
Use distributive property for this part: 4(n – 8) ----> 4n - 32
n + 1 = 4n - 32
Get the variable on one side:
n + 1 = 4n - 32
-n -n
1= 3n - 32
Get the variable on its own:
1= 3n - 32
+32 +32
33 = 3n
Divide by 3 on both sides:
33/3 = 3n/3
n = 11
No, because if he runs 7/30 mile each day he will run 210 miles each week because he is running 30 miles every day so he has to run 7/4.28 miles each day of the week to get 30 miles each week.
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Answer:
- y = -3/5x - 6 or 3x + 5y = -30
Step-by-step explanation:
<u>Given line:</u>
<u>Converting into slope-intercept form:</u>
- 3x + 5y = 15
- 5y = - 3x + 15
- y = -3/5x + 3
<u>Parallel lines have the same slope, so the parallel line will be:</u>
<u>Using given point (-5, -3) finding the y-intercept:</u>
- -3 = -3/5(-5) + b
- -3 = 3 + b
- b = -3 - 3
- b = -6
<u>So the line is:</u>
<u>Or converted into standard form:</u>
- y = - 3/5x - 6
- 3/5x + y = -6
- 3x + 5y = -30