On #29 x = 12 and <apb = 90° and <dcb = 40° and on #30 all I dont even understand, sorry
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:
3 dollars
Step-by-step explanation:
Answer:
(1.5,0)
(.5,0)
Step-by-step explanation:
Quadratic formula below
We first need to move everything to one side of the equation
4x²-8x+3=0
Then plug everything in
(8±√(-8²-4*4*3))/(2*4)
(8±√16)/8
To calculate the ± we need to do when where it's adding and then negative
we have
(8+4)/8=3/2
and hten
(8-4)/8=1/2
Answer:
b
Step-by-step explanation:
