Answer:
The answer is ( - 8, 8) in point form or in x = -8 , y= 8 in equation form.
1. given
2. perpendicular lines makes a right angle
5. definition of complementary angles
sorry bout the others. idk how to word it so hopefully what I gave you helps
Answer:
A
Step-by-step explanation:
We are given the function:

And we want to find:

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:

Since we are approaching from the left, we will use the first equation:

By direct substitution:

Right-Hand Limit:

Since we are approaching from the right, we will use the second equation:

Direct substitution:

So, we can see that:

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

Our answer is A.
Answer:
The equation of this line would be 4x + y = 13
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.
4x + y - 2 = 0
4x + y = 2
y = -4x + 2
The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.
y - y1 = m(x - x1)
y + 3 = -4(x - 4)
y + 3 = -4x + 16
4x + y + 3 = 16
4x + y = 13