Answer:
64°
Step-by-step explanation:
<em>So supplement angles are equal to 180, so first our two angles added together will be 180:</em>
x + x = 180
<em>Now one of these angles is 6 greater than half:</em>
x + (x/2 + 6) = 180
<em>Then we will solve for x:</em>
x + (x/2 + 6) = 180
x + x/2 + 6 = 180
x + x/2 = 174
x = 174
x = 116
<em>Plug it back in:</em>
x + (x/2 + 6) = 180
/\
x/2 + 6
(116)/2 + 6
64
<em>To check:</em>
116 + 64 = 180 ✓
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−
<em><u>Answer:</u></em>
vertex = (-4, -5)
Axis of symmetry = -4
use the (-4, -5) to find the minimum value
<em><u>Solution:</u></em>
Given function is:
The equation in vertex form is given as:
Where, (h, k) is constant
On comparing give function with vertex form,
h = -4
k = -5
Vertex is (-4 , -5)
Axis of symmetry : x co-ordinate of vertex
Thus, axis of symmetry = -4
The coefficient of x^2 is positive in given function.
Thus the vertex point will be a minimum
On comparing,
a = 1
b = 8
Thus, use the (-4, -5) to find the minimum value
Domain and range
The domain is the input values shown on the x-axis
The range is the set of possible output values f(x)
Therefore,
