First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)
Next find the slope of the segment 1,0 and 5,-2 using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y.
The slope is 4/2 or 2
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2
Now plug in the coordinate (3, -1) to find the y-intercept and the equation of that line will be complete
so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b
The final equation will be -1/2x + 0.5 =y
hope this helps:)
Answer:
743
Step-by-step explanation:
23+23=46
789-46=743
Answer:
the real answer is 1107.5 ft
3
Step-by-step explanation:
Volume of Cone:
V=\frac{1}{3}\pi r^2h
V=
3
1
πr
2
h
\text{Find radius:}
Find radius:
r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6
r=
2
diameter
=
2
17.2
=8.6
h=14.3\hspace{40px}r=8.6
h=14.3r=8.6
Needed information
V=
V=
\,\,\frac{1}{3}\pi r^2h
3
1
πr
2
h
V=
V=
\,\,\frac{1}{3}\pi (8.6)^2(14.3)
3
1
π(8.6)
2
(14.3)
Plug in
V=
V=
\,\,1107.54545168
1107.54545168
Evaluate in calculator
V\approx
V≈
\,\,1107.5\text{ ft}^3
1107.5 ft
3
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
It’s the first answer. The function is y = x*2
