Answer:
1/27
Step-by-step explanation:
There are 9 numbers between 0 and 8. 3 of them are less than 3 (0, 1, and 2), and 1 of them is 6.
The probability is therefore (3/9) (1/9) = 1/27.
Answer:
a segment cd only
Step-by-step explanation:
segment cd is the only line that passes through segment ab at a right angle
You forgot to add in your height to your question. To find your area you need to do 8 + 14 and get 22 then you nee to do the height divided by two. If you give me the height of the triangle I can tell you the area.
9514 1404 393
Answer:
C. 6
Step-by-step explanation:
XY/AB = 30/5 = 6
Triangle ABC is scaled by a factor of 6 to make triangle XYZ.
The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)
The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)
Answer: The system of inequalities would produce the region indicated on the graph is Option B
