Answer:
I believe it is the second 1
The answer should be answer A. (A,C,D,K)
You can easily figure this out by just looking at the graph. Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.
H is not included because it falls on the dotted line. Any point that falls on a dotted line does not satisfy both inequalities.
If the line were solid however, then the point would satisfy both inequalities. This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8. Since the symbol is not used, it doesn't satisfy both equations.
To avoid confusion, remember PEMDAS. This is the order of operation.
Parenthesis, Exponents, Multiply, Divide, Add, Subtract
21 ÷ 7 + 20 * 102 * 2 - 3
No parenthesis and no exponents, proceed to multiplication.
20 * 102 * 2 = 4,080
Then, perform division
21÷7 = 3
Then, do addition
3 + 4080 = 4083
Lastly, do subtraction
4,083 - 3 = 4,080
So, 21 ÷ 7 + 20 * 102 * 2 - 3 = 4,080
The equation for a line is y=mx+b
m is the slope, so when a line is perpendicular to another line is has a slope which is an opposite reciprocal, so change the -1/2 (the slope of the other line) to 2/1 or just 2
so m=2
now you need to plug in the point they give you for x and y
y=mx+b
4=2(4) + b
simplify
4=8 + b
subtract 8 over
-4 = b
now that you know that slope (m) and the y-intercept (b) you can plug those two numbers into the original equation for the answer
y= 2x -4