(x1,y1)
(x2,y2)
(xm,ym)
Midpoint formula is given as below.
((x1 + x2)/2 , (y1 + y2)/2 )
Where
(x1 + x2)/2 = xm ----------- (1)
(y1 + y2)/2 = ym ----------- (2)
Equation (1) implies that;
x1 + x2 = 2xm
x2 = 2xm – x1
Equation (2) implies that;
y1 + y2 = 2ym
y2 = 2ym – y1
Thus the end point is
<span>(x2,y2) = (2xm – x1, 2ym – y1)</span>
Answer:
13
Step-by-step explanation:
Estimate 5.89 to 6.
5.89 ≈ 6
Estinate 7 1/12 to 7.
7.083 ≈ 7
Estimate the sum.
7 + 6 = 13
Answer:
A)2100 ml
Step-by-step explanation:
Given total vinegar is 3 1/2 liters and the used vinegar is 3/5 of the vinegar in the beaker:
#First calculate the amount of vinegar not poured in the beaker:
#Calculate amount of vinegar used in experiment:
#The unused vinegar is therefore calculated by subtracting the used vinegar from the total at the start of the experiment:
Hence, the unused vinegar is 2100 ml
Answer:
bottom side (a) = 3.36 ft
lateral side (b) = 4.68 ft
Step-by-step explanation:
We have to maximize the area of the window, subject to a constraint in the perimeter of the window.
If we defined a as the bottom side, and b as the lateral side, we have the area defined as:
The restriction is that the perimeter have to be 12 ft at most:
We can express b in function of a as:
Then, the area become:
To maximize the area, we derive and equal to zero:
Then, b is:
Answer:
Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Step-by-step explanation:
First, we need to <em>divide</em> 927.8 miles by 5.
927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.
Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.
185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.
Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.
168.26 x 5 = 841.3
Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
