Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:
Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint
Midpoint = ( (a+c)/2 , (b + d)/2 )
From the formula: (a+c)/2 = e ; (b + d)/2 = f
Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:
(a+c<span>)/2 = e
</span>(3 + c)/2 = 0
c = -3
(b + d<span>)/2 = f
</span>(11 + d)/2 = 0
d = -11
Therefore, the coordinates of the other point is Q(-3,-11)
Not sure what you mean by 5th term, I assume it's the term with the form x^3y^5
Then, you can use combination method:
C(8,3) * (-3)^5 = -13608
So, 5th term is -13608x^3y^5
0.86/5-0.3*0.5= 2 answers
1. can be 11/500
2. it can be 0.022 but im positive it has to be 11/500
Answer: C
Steps: 4x + y = -4, x + y = 2
Isolate the x for (x + y = 2): x = 2 - y
Plug the value of x into the other equation: 4(2 - y) + y = -4
Simplify: -4y + 8 + y = -4
Combine like variables (letters): -4y + y = -3y
So -3y + 8 = -4
Subtract eight from both sides: -3y + 8 - 8 = -4 - 8
-3y = -12
Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3
Simplify: y = 4
Plug the value of y into one of the original equations (I'll use x + y = 2):
So x + 4 = 2
Isolate the x variable: x = -2
Answer:
36 minutes
Step-by-step explanation:
time = distance / speed
time = (7.2×10² km)/((1.2×10³ km)/(60 min)) = (7.2×60/1.2)×10²⁻³ min
= 360×10⁻¹ min
= 36 min
It takes sound about 36 minutes to travel 720 km.
