Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
The average is (time)/(number of problems)=(45/60)/20=(3/4)/20=3/80 hours per problem. In minutes, the answer would be 3/80*60=9/4 minutes per problem.
Answer:
angle b = 25°
for angle A = 180 - 50 (ie 25 + 25)
angle a =130°
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