Answer:
3m = -3
Step-by-step explanation:
You are given
2m - 6 = 8m,
hence,
2m - 8m = 6,
-6m = 6,
m = 6%2F%28-6%29,
m = -1.
Therefore, 3m = -3.
Answer:
Histogram B best represents the data.
Step-by-step explanation:
student: Hours:
a 0.6
b 0.5
c 2.5
d 2.5
e 1.5
f 2.5
g 0.5
h 1.5
I 1.5
j 2.5
k 2.5
l 2.5
m 1.5
n 1.5
o 1.5
Since clearly from the table we could see that none of the student spend more than 3 hours in listening music each day.
Hence, the graph in option A and option D are incorrect.
Now we arrange our data in the interval of 1 unit to get:
Interval Number of students
0-1 3
1-2 6
2-3 6
Hence, the histogram that represents this data is:
Histogram B
Hey there!
I think that it safe to say that this room is a rectangular prism. Therefore, the top and bottom (floor and ceiling) have the same area. We see that our floor dimensions are 12 cm long and 7 cm wide. This also applies to the ceiling. Let’s take our two sides and multiply then to find our area.
12(7)=84
Therefore, the area is 84 square centimeters.
I hope that this helps!
Answer: 6/50
Step-by-step explanation:
Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
