The first thing we do in a problem like this is let arc AB equal X. X is the magic letter, anything you need to find name it x. We also know that all arcs in a circle must add up to 360, so arc ALB is equal to 360 - x.
There's this theorem saying that when two tangents intersect from a point outside a triangle, the measure of the angle formed by the intersection of the tangents (angle P) is equal to the half the difference of the arcs.
This basically means:
angle P = 1/2(360 - x) - x.
plug in the value of angle P
84 = 1/2(360 - x - x)
168=360 - 2x
2x = 192
x = 96
arc AB=96
Answer:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
Therefore, we conclude that function f(x) has a greater y-intercept.
Step-by-step explanation:
The y-intercept of any function can be determined by checking the value of y at x = 0.
<u>Important Tip</u>
- A point where the graph meets the y-axis — y-intercept.
Determining the y-intercept of the function f(x)
Given the function f(x) passes through the point (0,2).
It means at x = 0, the value of y = 2
Thus, the y-intercept of function f(x) is 2.
Determining the y-intercept of the function g(x)
Given the function g(x)
substitute x = 0 in the function equation
It means at x = 0, the value of y = -3
Thus, the y-intercept of function g(x) is -3.
Conclusion:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
As 2 > -3
Therefore, we conclude that function f(x) has a greater y-intercept.
Answer:
x1 = -1, x2 = 2, x3 = -4, x4 = 0
If it wants everything in terms of what x4 equals then the system is inconsistent since x4=0
Step-by-step explanation:
Once you have it in that reduced row echelon form it's super easy.
The first column is x1, second is x2 and so on.
The first row says x1 + 0x2 + 0x3 + 0x4 = -1, or in other words x1 = -1. You can do this for all the rows.
this does mean that x4 = 0, so if the instructions are saying it wants everything n terms of x4, you can't do that so it is inconsistent.
9514 1404 393
Answer:
y = 1/4x -2
Step-by-step explanation:
The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...
m = rise/run = 1/4
The y-intercept (b) is where the line crosses the y-axis, at y = -2.
The equation in slope-intercept form is ...
y = mx + b
y = 1/4x -2