Answer:
y>4x-2
Step-by-step explanation:
First let us find the equation of the line.
Given points (1,2) and (0, -2), the slope would be
(2-(-2))/(1-0) = 4/1= 4
The intercept is at -2, so the full equation would be
y=4x-2
However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.
Our equations should be,
y>4x-2
<em>I hope this helps! :)</em>
Answer: n > 
Step-by-step explanation:
1. So, to understand this you need to understand that the opposite of 11 is -11.
2. Use the formula 3n+12>-11.
3. Subtract 12 from both sides (3n>-23)
4. Divide by 3 on both sides. (n>
)
5. You can go a step further and simplify into -7
.
6. n > 
Answer:
D
Step-by-step explanation:
38+(-18) can be changed to 38-18 and the answer will still be the same
Divide both sides by 2 for the first one.
2c/2>2/2
c>1
simplify both sides for the second 1
1/6d>=1
6*(1/6d).=(6)*(1)
d>=6
For the last one
subtract 9 from both sides
r+9-9<=23-9 so that r<=14
Hope this helps!
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.



Taking square root both sides :


Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.