Let

Ben's age
Let

Daniel's age
We know:

and

Plug the value of

into the second equation:





Since Ben is 20 years older than Daniel, Ben is 13+20=33 years old.
The general form for this parabola ix x^2 = 4ay where the focus is (0,2)
a = 2 so we have:-
x^2 = 4(2)y
y = (1/8) x^2 is the answer.
Answer: the actual length and width of the room is 24ft by 36ft
Step-by-step explanation:
The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.
Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be
6 × 4 = 24 feet
Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be
9 × 4 = 36 feet
Answer: sorry I'm doing a competition for who ever reaches 1k points
Answer:
X = 16
Step-by-step explanation:
Notice that we are in the presence of two similar triangles, one larger than the other. The larger triangle is AED, and the smaller one is ACB.
Since there are similar triangles, we can write a proportionality between their known sides:

notice that AD = x + 6
AB = x
ED = 11
CB = 8
So now we can re-write the proportion and solve it for the unknown "x":
