If the discriminant is positive,that means that there are roots that are real and therefore, when y=0, the roots are there and for the quadratic to meet it has to go down (or up if in ax²+bx+c a is negative). If the discriminant is 0, that means that since the x value of the vertex is -b/2a and if you have
x=
and b^2-4ac=0, we're left with 0 and we are therefore left with -b/2a as the vertex and the vertex being the x intercept. If the discriminant is negative, that means that there is no y intercept and the vertex therefore has to be over y=0
Answer:
-28
Step-by-step explanation:
If y = 98 when x is 14, y is always seven times x. We know this because x = y/7.
So if Y is seven times bigger, -4 * 7 = -28
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 <u>></u> 11
Subtract 7 from both sides
2x/3 <u>></u> 4
Multiply both sides by 3
2x <u>></u> 12
Divide both sides by 2
x <u>></u> 6
6, 7, and 8 are the ones that work
For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12
The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%
It's 90 because the shape is a square.
See how all the sides are parallel.
