Answer: 6.40 = c
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 4^2 = c^2
25 + 16 = c^2
41 = c^2
____
_/ 41 = c
6.40 = c
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
Let one angle be x
Let second angle be 88+x
Sum of two complementary angles = 90°
x+ 88+ x = 90°
2x + 88 = 90
2x = 90 - 88 = 2
x = 2/2 = 1
First angle = x = 1°
Second angle = 88 + x = 88+1 = 89°
I hope it is helpful:D
Answer:
12 girls
Step-by-step explanation:
multiply 8 by 3/2 to get 12.
