
Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Answer:
I attached a picture below of what the lines of symmetry are.
Answer:
469.42 ft²
Step-by-step explanation:
w/sin27 = 38/sin40
w = sin27*38/sin40
w = 26.84 ft
∡X = 180 - 27- 40 = 113º
A = 0.5*(26.84)*(38)*sin(113)
A = 469.42 ft²
Answer:
That smile tho lol
anywayssssss
b= 16 mm
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2= c^2, so-
12^2 +b^2= 20^2
144+b^2=400
b^2=400-144
b^2= 256
b= 16
Answer:
9
Step-by-step explanation:
We can solve this by plugging x into the function:
3^(2(1/2) + 1)
=3^(1+1)
=3^2
= 9