If you're asking for the number of digits smaller than 13 in the bag:12
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
Answer:
yes because a rhombus and a rectangle are counted as a quadrilateral because they have 4 sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
Let's verify the answer choices with this method
A. 1/4 and 5/25
- 1*25 = 4*5
- 25 = 20, incorrect, not a proportion
B. 1/4 and 7/24
- 1*24 = 4*7
- 24 = 28, incorrect, not a proportion
C. 1/4 and 10/48
- 1*48 = 4*10
- 48 = 40, incorrect, not a proportion
D. 1/4 and 9/36
- 1*36 = 4*9
- 36 = 36, correct, this is a proportion