The formula you can use is
y - y1 = m(x - x1)
plug the y value you are given into y1 and the x value you are given into x1. m is for your slope value. after you plug in the known values, solve. your final answer should be in standard form which is
Ax + By = C
your answer should not contain any fractions and your Ax value cannot be a negative value, By and C can be negative though.
hope this helps :)
Let's answer question 3 first, because by solving it through the quadratic formula, we actually get the discriminant for free and it's easy to get the axis of symmetry.
In this quadratic, 2x²- 12x + 7 the values for the quadratic formula are a = 2, b = -12, c = 7. (Read the coefficients with a for the squared term, b for the x term, c for the number).
The axis of symmetry is at x =
Remember that part? That's half of the quadratic formula.
x =
(You often see the plus or minus part, but this chat box doesn't have that key.) Also, the discriminant is the other half - the b²-4ac part. That is 12²-4(2)(7) = 144 - 56 = 88.
Thus, are the solutions, the axis of symmetry is at x =3, and the discriminant is 88.
Given that they follow the format for straight lines and are therefore straight lines, they would only intersect once and that would be at (0,1) where they both have a y intersect.
Hope this helps :)
A simple way to get the dimensions is just to rearrange the equation.
<span>So in a.) (i'm going to assume t2 is t squared) </span>
<span>rearrange: </span>
<span>x = Bt2 ----> B= x/t2 </span>
<span>Now you are told that x is displacement (L) and t is time (T) so sub these in. </span>
<span>B= L/T2 Therefore the dimensions are L/T2. </span>
<span>In b.) following the same steps: </span>
<span>x = A sin(2πft) ----> A = x/sin(2πft) </span>
<span>The hint tells you that sin(2πft) is dimensionless so you can disregard that part. </span>
<span>A = x </span>
<span>A=L</span>