Inequalities are used to show the relationship between unequal expressions
- <em>The set notation of (5) and (6) are: </em>
<em> and </em>
<em>.</em> - <em>See attachmen</em>t for the graphs
The following should be notated when plotting the graph of an inequality
- < and > are represented with open circles, while
and 
are represented with closed circles - The arrows of
and 
point to the left, while the arrows of 
and point to the right.
So, we have:
Rewrite as:
The graph of will point to the right, and it will use an open circle
Split the inequality:
and 
<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>
<em />
Hence. 
cannot be represented on a graph
Split the inequality:
and 
means that -4 is less than x or x is greater than -4.
So, we have:
and
If and , then we make use of because it contains more values of x.
The graph of will point to the right, and it will use an open circle
Read more about inequalities at:
brainly.com/question/11612965
Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:
Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Multiply out
remember thatn (-) times (+)=(-) so
+3 times -4=-12
-12x=0
the only number that will work is 0 since 0 times anything=0
x=0
Answer:
D. -√3/2
Step-by-step explanation:
Remember your unit circle.
Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.
