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:
34
Step-by-step explanation:
substitute
3(8)-2(-2)+6
dsitribute
24+4+6
add
34
<h3>Answer:</h3>
<h3>Explanation:</h3>
You know that the sum of a number and a fraction is ...
... a + b/c = (ac +b)/c
Here, you have ...
... a = 6
... b = -(x+5)
... c = (7x-5)(x+4) = 7x² +23x -20
Then ...
... (ac +b)/c = (6(7x² +23x -20) -(x +5))/(7x² +23x -20)
... = (42x² +138x -120 -x -5)/(7x² +23x -20)
... = (42x² +137x -125)/(7x² +23x -20)
Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.
Now see my attachments. The first attachment is the original image from your problem.
The second attachment is when we draw to focus on angle H (in a better perspective)
The third attachment is when we draw to focus on angle G in a better perspective.
Now that we know tanA = opposite/adjacent
Define A = any angles.
Therefore,
tanH = 1/2
tanG = 2/1 = 2
Answer
Well the area of the triangle is 18 so Id figure if my math is correct x = 3