Answer:
The correct answer would be 2 * √x - x^2 + 8 * x
Answer:
6 or 6.4
Step-by-step explanation:
Point 1
(xA,yA)= (9, 8)
Point
(xB,yB) = (5, 3)
Formula :
Distance between two points =
√(xB−xA)2+(yB−yA)2
Solution :
Distance between two points =
√(5−9)2+(3−8)2= √(−4)2+(−5)2= √16+25= √41 = 6.4031
Distance between points (9, 8) and (5, 3) is 6.4031
But you wanted it in a whole number so 6
Answer:
$27.34
Step-by-step explanation:
250 miles divided by 32 miles per gallon equals 7.8125 which is the number of gallons needed. Then multiple 7.8125 by the cost per gallon $3.50 to determine the cost of the fuel needed.
Answer:
45
Step-by-step explanation:
These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below
1/time took for both = 1/time took for Kevin + 1/time took for Eric
1/30 = 1/90+1/x ==> calling time took for Kevin x
solving the above 1/x = 1/30-1/90
1/x=2/90
x=45
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length ![LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units](https://tex.z-dn.net/?f=LM%3D%5Csqrt%20%7B%287-7%29%5E%7B2%7D%2B%2816-4%29%5E%7B2%7D%7D%3D12%20units)
Length ![LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units](https://tex.z-dn.net/?f=LN%3D%5Csqrt%20%7B%2842-7%29%5E%7B2%7D%2B%284-4%29%5E%7B2%7D%7D%3D35%20units)
Length![MN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units](https://tex.z-dn.net/?f=MN%3D%5Csqrt%20%7B%2842-7%29%5E%7B2%7D%2B%284-16%29%5E%7B2%7D%7D%3D37%20units)
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where
![MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units](https://tex.z-dn.net/?f=MN%3D%5Csqrt%20%7B%28LN%29%5E%7B2%7D%2B%28LM%29%5E%7B2%7D%7D%3D%5Csqrt%20%7B%2812%29%5E%7B2%7D%2B%2835%29%5E%7B2%7D%7D%3D37%20units)
Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units