<h3>
Answer: Slope = -3/4</h3>
slope = rise/run
rise = -3 ... move down 3 units
run = 4 .... move to the right 4 units
============================================
Work Shown:
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (-17-(-2))/(24-4)
m = (-17+2)/(24-4)
m = -15/20
m = -3/4 is the slope
----------------
It basically means "move down 3 units, and move to the right 4 units"
So, slope = rise/run = -3/4
rise = -3 = move down 3 units
run = 4 = move to the right 4
You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.
Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.
Answer:
x = 12
Step-by-step explanation:
5(x - 6) = 2(x + 3)
Distribute
5x - 30 = 2x + 6
Put like terms on each side by subtracting both sides by -2x and adding 30 on each side
3x = 36
Simplify
3x/3 = 36/3
x = 36/3
x = 12
Plug is back in to check
5(12) - 30 = 2(12) + 6
60 - 30 = 24 + 6
30 = 30
Answer:
12, 4, 4/3
Step-by-step explanation:
The pattern is that its 1/3 the previous term...
Answer:
33 students
Step-by-step explanation:
Since there aren’t going to be fractions of people, you can just count up using the whole numbers in the ratio (4 on the left, 7 on the right) and then check if the sum is between 24 and 40.
4:7 = 11 students (not enough)
8:14 = 22 students (not enough)
12:21 = 33 students (fits criteria)
12 boys, 21 girls, for a total of 33 students.
Answer:
136
Step-by-step explanation:
For the second question, it is 136 because for triangles all side when added always equal to 180, so if you add 24 and 20 (which = 44) and subtract it from 180, it gives you 136, which is the answer and the angle of n.