Answer:
The student incorrectly used the Distributive property!
Step-by-step explanation:
The Distributive property says a(b+c)=ab+ac
In this problem the answer SHOULD be 3n-15, however the <u>student forgot to distribute the 3 to the -5</u>!
Answer:
135 square feet
Step-by-step explanation:
area of base and top=2(1/2×6×2.5)=15 square feet.
area of three faces=(2.5+6+6.5)×8=15×8=120 ft
total surface area=15+120=135 square feet.
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then 
when x= -1 then 
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =

(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)