Answer:
None
Step-by-step explanation:
Step 1: Write all the equations in the form y=mx+c, where m represents the gradient.
Notably, the equations are in that form already.
Step 2: Compare which equation have same value of m
In our case, none, hence no parallel lines
The equation of a parabola in vertex form, is:
Where <em>(h,k)</em> are the coordinates of the vertex.
From the given graph, notice that the coordinates of the vertex are:
The roots are the values of <em>x</em> where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points <em>(4,0)</em> and <em>(6,0).</em> Then, the roots are:
Substitute the values of the vertex into the equation of the parabola in vertex form:
To find the value of <em>a</em>, substitute <em>(x,y)=(4,0)</em>:
Therefore, the equation of the parabola is:
Answer:
The additive inverse of 7 is −7, because 7 + (−7) = 0; The additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.
I hope I'm right and good luck! :)
8. 12d-5
10. 25h+100
I hope that helps
Answer:
<em>m </em>=<em> </em>1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
<em>m</em> = (2 - 0)/(0 - (-4))
Simplify:
<em>m</em> = (2)/( 0 - (-4))
<em>m</em> = (2)/(0 + 4)
<em>m</em> = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
<em>m</em> = (2/4)/(2/2) = 1/2
1/2 is your slope.
~
