Although thisnumber<span> can be expressed as a fraction, we need more than to be a </span>rational number<span>. The fraction's numerator and denominator must both be integers, and √2 cannot be expressed as an integer</span>
Answer:
3
Step-by-step explanation:
1) when dividing fractions change the sign to multiplication and flip the second fraction(reciprocal) upside down and multiply

12/4=3
hope this helps!
x < -23/2
Step-by-step explanation:
you open the bracket first
LHS
3-(2x - 5)
-6x+15
RHS
-4(x+2)
=-4x-8
therefore:
-6x+15 < -4x-8
By collecting the like terms
-6x+4x < -8-15
=-2x<-23
Divide both side by -2x
-2x/-2 < -23/-2
x < -23/2
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)



Angle A (Law of Cosine)





Angle C (Sum of internal angles in triangles)


Hence, the right answer is B.
Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a) 10x + 5y = 20 ... subtract 10x on both sides
5y = 20 - 10x ... divide both sides by 5
y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b
y = -2x + 4
b) 3x - 2y = 10 + 4x ... subtract 3x on both sides
-2y = 10 + x ... divide both sides by -2
y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b
y = -0.5x - 5