Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.
Answer:
x<2
Step-by-step explanation:
Answer:
3 carrots, 4 crackers, and 6 grapes.
Step-by-step explanation:
The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.
Answer:
A
Step-by-step explanation:
It should be all positive
We know that
in the triangle ABC
∡A+∡B+∡C=180°
∡C=180-(50+100)-------> ∡C=30°
triangle ABC and triangle XYZ are similar
so
∡X=∡A
∡Y=∡B
∡Z=∡C
hence
∡Z=30°
the answer is∡Z=30°
