Answer:
50
Step-by-step explanation:
to find the value of x use "sinerule"
sinx/13= Sin90/17
sinx = sin90×13/17
sinx= 14/17
sinx= 0.764705882
X= SIN^-1(0.764705882)
X = 49.888
X= 50
No the answer is 89 because 97 - 8 is 89
Answer:
The second and fourth option
Step-by-step explanation:
In order for two lines to be perpendicular they must intercept each other and their slope must be the opposite inverse; ex: 
the negative inverse is 4 (multiplying by -1 and flipping the fraction)
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
