What you want to do, is isolate the y by itself to rewrite the equation as y=mx+b. So when you move the 5x over the equation looks like this -6y=-5x+30. Then you divide the -5x+30 by -6 to isolate the y. Thus making the equation y=5/6x-5. And since there is only one answer with the y-intercept as (0,-5); The answer is A.
<h2>
The value of x is always grater than 4.</h2><h3>
Therefore x = (4,∞)</h3>
Step-by-step explanation:
Given
5x+ 2 >3x+10
⇔5x - 3x >10-2
⇔2x > 8
⇔x > 4
<h3>
The value of x is always grater than 4.</h3><h3>
Therefore x = (4,∞)</h3>
Answer:
g(4) = 12
Step-by-step explanation:
We need to find the value the function g(x) when x = 4, that is;
g(4)
In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)
In the second definition, g(x) is given as;
Q(x) = 0.5x + 10
plug in x = 4 and simplify;
Q(4) = 0.5(4) + 10
Q(4) = 12
Answer:

Step-by-step explanation:
Use these formulas

Now solve

slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle