1) First one is a line f(x)=2x+1. It has y-int. (0,1), and second point, for example, (1,3)
2 points for line (0,1) and (1,3)2) Second one is a parabola g(x)=x²+2x-8.
In the vertex form it looks like
g(x) =x²+2x+1-1-8=(x+1)²-9
g(x)=(x+1)²-9 - parabola in the vertex form. Vertex is (-1,-9)Another point of the parabola can be found from the equation g(x)=x²+2x-8.
It is y-int. x=0, g(0)=-8, so
point on the parabola is (0,-8)For parabola Vertex (-1,-9) and point (0,-8)3) Solutions are (-3,-5) and (3,7).
Answer: x = 3. the length of side ST is 14.
Step-by-step explanation:
Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.
To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.
The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.
We then need to simplify the equation to x = 3.
This means the answer to 9 is x = 3.
For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.
This means the length of side ST is 14.