Answer:
B
Step-by-step explanation:
4y+2y−4
=4y+2y+−4
Combine Like Terms:
=4y+2y+−4
=(4y+2y)+(−4)
=6y+−4
(subtraction overpowers)
So we are given an initial equation of:
.
We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially
, we are going to flip it to make it
and change the sign to make it
.
So now we know that the slope of the perpendicular line is
, we can start a new equation for this line:

We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:

Then solve for b:


So then we plug in our value for b and leave x and y:

So this equation now represents the new path.
Answer:
x = 4
Step-by-step explanation:
The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.
In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

Answer:
Step-by-step explanation:
(0, 3) (4, 2)
x2.y2. x1 y1


= 1/-4
slope = 1/-4
D. I think im not sure with this one