Answer:i think it is y-y1=m(x-x1)
m is herein undefined.
Slope, m, is defined as change-of-y divided by change-of-x...
m=(y-y1)/(x-x1)
The mathematical concept of undefined means that the denominator is zero. This means that both values of x are equal.
(-4,-8)
This equation is x=-4
It is a vertical line and includes the point of y=-8.
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
90/100 = 54
Cross multiplying:
100 * 54 / 90
5400/90
60
Answer:
Total weight is 150 kg
Step-by-step explanation:
Firstly, we need the weight of the diagonal
To get this, we shall use the Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
The diagonals stand for the hypotenuse
Thus, we have that;
d^2 = 5^2 + 12^2
d^2 = 25 + 144
d^2 = 169
d^2 = 13^2
d = 13
The 6 sides technically includes the whole rectangle sides, then the two diagonals
The total length here is;
2(5 + 12 + 13) = 60 meters
Steel weight is 2.5 kg per meter
Weight of 60 m will be ;
60 * 2.5 = 150 kg
The two dot plots are missing, so i have attached it.
Answer:
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
Step-by-step explanation:
From the attached image, we are told to compare the means for each plot to the nearest tenth.
Mean = Σx/n
Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;
(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133
Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles
Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143
Mean of miles run at the end of the school year = 143/14 = 10.2 miles
Thus;
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles