Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Answer:
Step-by-step explanation:
+ We find the function (f+g)(x) like
(f+g)(x)= f(x) + g(x) = x^2 +3x+5 + x^2 + 2x = 2x^2 +5x + 5
+ So the graph of (f+g)(x) is a parabole with the sommet (-5/4, 15/8).
Hope that useful for you.
Answer:
y = -1/2x
Step-by-step explanation:
Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.
Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b <u>into</u> y = mx + 0. Since it's 0, let's just <em>drop</em> it out of our equation.
So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x
It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.
