If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units
The formula for calculating the midpoint is expressed as;

For the x-coordinate points:
X = -3+x/2
4 * 2 = -3 + x
8 = -3 + x
x = 8 + 3
x = 11
Get the value of y;
2 = y+6/2
y+6 = 2 * 2
y + 6 = 4
y = 4 - 6
y = -2
Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

Hence the length of DE is 16.12 units
Learn more here; brainly.com/question/22624745
The answer is 4 hours
p -<span> the programming time
</span>c - time spent on commercials
<span>A radio station broadcasts programs and commercials 20 hours everyday:
p + c = 20
</span><span>The ratio of the time spent on commercials to the programming time is 1:4.
c : p = 1 : 4
p = c * 4 : 1
p = 4c
p + c = 20
p = 4c
_____
4c + c = 20
5c = 20
c = 20 : 5
c = 4h</span>
F(x) = 3x+1
G(x) = X^2 - 6
F(G(x)) = F(X^2 - 6) = 3(X^2 - 6) + 1 = 3X^2 - 18 + 1 = 3X^2 -17
F(G(x)) = 3X^2 - 17
Answer:

Step-by-step explanation:
The formula for nth term of a the sequence is given as 
<u>Finding the 10th term means finding
, which means to plug in 10 into n, in the nth term formula.</u>
