Step-by-step explanation:
so, if the text is correct, the 2 points are
(2, 3) and (-3, 15).
the length of the line segment is the distance between both points.
did this we use Pythagoras for right-angled triangles.
c² = a² + b²
c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.
so,
distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169
distance = sqrt(169) = 13 = length of line segment
Answer:
9
Step-by-step explanation:
3 - 9 = 6
The answer to this question is B
You'll need to multiply the function out to get it in the form y = ax^2 + bx + c, in this case it would be y = 4x^2 + 16x + 20.
We can immediately see that y = 20 would be the y value for the pivot point for the equation, and since the equation is positive it woukd have a concave shape. Thus it woulc be a minimum of 20, since there are no points lower than that on the y-axis.
Plotting functions like this on desmos helps you get a better understanding of how they work. I recommend you try! ;)