Answer:
the two coefficients are 2/3 and -1/6 
the sum of the expressions are =
1
/2
q−r+
−3
/4
Step-by-step explanation:
 
        
             
        
        
        
Answer:
4
Step-by-step explanation:
A variable term is a mathematical term in which a variable is by itself or is connected to a coefficient(s).
3x3y, 5x2, −4y, z.
 
        
             
        
        
        
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
 
        
             
        
        
        
All the sides add like a rectangle with two sides measuring 4 and two measuring 2 so you would add 4+4+2+2=12
        
                    
             
        
        
        
Answer:
3.5 inch^3
Step-by-step explanation:
Volume of cube: V = s^2,
where V = volume, and s = length of side or edge.
The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.
volume of prism = 28 * volume of cube
volume of prism = 28 * (1/2 inch)^3
volume of prism = 28 * 1/8 inch^3
volume of prism = 3.5 inch^3