2x^2+9x-6 i found this by subtracting 3x^2+7x from the other equation
Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
hypotenuse is sqrt(5^2 + 1^2) = sqrt(26) (answer).
In order to Sherman a line that is either parallel or perpendicular to another line, you first have to put the equation into slope intercept form. This means you have to solve for y.
3x+4y = 7
4y = -3x + 7
y = (-3/4)x + (7/4)
The slope of the line is -3/4. Online which is perpendicular would have a slope of 4/3, The negative reciprocal.
Now that you know the slope, you can write many different equations that would be perpendicular to the original.
y = (3/4)x + any y-intercept....Pick a number, any number... 7. ... y=(3/4)x+7
... -2 ...y = (3/4)x - 2. Literally you can pick any number.
In the given equation above relating the number of races the runner had run and the finishing time,
f = -1.2n + 38.1
It can be deduced that the initial finishing time is approximately 38.1 and that the time is reduced by 1.2 minutes in every race that the runner had run. Therefore, the answer to this item is letter B.
