3/4(1/2x + 4) + 1/2(x − 1)
First use distributive property to remove the parentheses:
3/8x + 3 + 1/2x -1/2
Now combine like terms:
7/8x + 2 1/2
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
3(x-9)=-3
3x-27=-3
3x=24
X=8
Check: 3(8-9)=-3
So your number is 8
Answer:
Step-by-step explanation:
After 4 years the age of father is twice as old as his son . 5 years before the father age was 1 year more than triple age of his son.
To check if x = 9 is the solution, we need to replace every x with 9 and simplify
(3+x)/4 = 3
(3+9)/4 = 3
12/4 = 3
3 = 3
We get the same thing on both sides, so the last equation is a true equation. This means that the first equation is a true equation when x = 9. Therefore, the solution x = 9 is confirmed.
