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:look below
Step-by-step explanation:
To graph y= 4x +2 plot the point (0,2) on the graph because the y-intercept is 2 then use the slope: 4 to find another point. Another point would be (1,6).
Answer:
7=a
Step-by-step explanation:
look at image for step by step
Answer: See below
Explanation:
Find the area of circle:
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2
Find the area of rectangle:
A = 3 x 4
A = 12
Find area of shaded region:
A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2
Double angle (or half angle, depending how you look at it) identities:



So we have



Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know
and
, so it's also the case that
.
Also, the reason we have equality in the last step can be explained like so:

(not unlike the process used to complete the square)