That is obtuse it doesn’t have equal sides
The geometric mean of
and
is
.
So the geometric mean of 4 and 16 is
.
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7
Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}
Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3
Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...
3^2 = 9
-6 * 3 = -18
+7
9 - 18 + 7
A.O.S (or y) = -2
The answer is C hope this helps
Answer: x = 7
-----------------------------------------
Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
