Answer:
-16
Step-by-step explanation:
(3/4)x+7=-5
(3/4)x=-12
x=-12(4/3)
x=-16
<h3>
Answer: 161 degrees</h3>
=========================================================
Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
Slope of 4 means you add 4 to the y and 1 to the x so the answer is (-1,9)
Answer:
axis of symmetry is 
.
The ordered pair of the vertex is 
.
Step-by-step explanation:
Your function is a quadratic.
Compare 
to 
.
You should see that 
.
The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing 
.
So here we go!
The axis of symmetry is 
.
When you write your axis of symmetry be sure to write it as an equation.
That is the axis of symmetry is .
Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for 
into
.
Put into calculator:
when
The ordered pair of the vertex is .
