Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2=24
Multiply by 3/2 on each side
3/2 *2/3 x^2=24 *3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = ±sqrt(36)
x = ±6
x = -6, 6
The smallest solution is -6
Answer:
CB= 4
Step-by-step explanation:
the triangles are in AA similarity.
AB/AD = BC/DE
4/12 = x/12
CROSS MULTIPLY;
x = 48/12
x = 4
You would divide the cheetahs distance which is 300 feet by the cheetahs time which is 2.92 seconds
distance÷time
300÷2.92= 102.7 seconds or 103 seconds if you round up
the cheetahs speed is 102.7 seconds or 103 seconds
The vertices of the triangle are the points where any pair of lines intersect.
We start by setting up the system

Using one of the two equations we can derive the correspondent y value:

So, one vertex is (1, 1)
We choose the other two pairs of lines to find the other vertices:


So, the three vertices are (1, 1), (2, 0), (-1, -3).
10 = 2/3m - 3/2m
2/3m - 3/2m = 10
m ( 2/3 - 3/2 ) = 10
-5/6m = 10
5m = -60
m = -12