<span>Simplifying
3n + 9 = 7n + -15
9 + 3n = 7n + -15
9 + 3n = -15 + 7n
9 + 3n = -15 + 7n
9 + 3n + -7n = -15 + 7n + -7n
3n + -7n = -4n
9 + -4n = -15 + 7n + -7n
7n + -7n = 0
9 + -4n = -15 + 0
9 + -4n = -15
9 + -9 + -4n = -15 + -9
9 + -9 = 0
0 + -4n = -15 + -9
-4n = -15 + -9
-15 + -9 = -24
-4n = -24
Divide each side by -4
n = 6 </span>
Answer:
D
Step-by-step explanation:
Answer:
(0,0)
Step-by-step explanation:
the x coordinate for the vertex is at the line of symmetry
ax^2 +bx+c
the line of symmetry is at h =-b/2a
x^2 =12y
divide by 12
1/12 x^2 = y
a = 1/12 b=0 c=0
h = 0/(2* 1/12)
h =0
to find the y coordinate, substitute x=0 back in
y = 1/12 * 0 = 0
the vertex is (0,0)
Answer:
The value of the line segment 
is 36.
Step-by-step explanation:
The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:
(1)
(2)
If we know that 
and 
, then the length of the line segment is:
The value of the line segment is 36.
