Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1
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Answer:
Divide both sides by 2
Step-by-step explanation:
We have the equation
2(x + 14) = 40
We divide both sides by 2
2(x + 14) = 40/2
x + 14 = 20
x = 20 - 14
x = 6
Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2
Answer:
x = 15.3°
Step-by-step explanation:
Trig identities:

where
- x = angle
- O = side opposite the angle
- A = side adjacent the angle
- H = hypotenuse

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

Then by linearity, we have
