Focus has coordinates (0, a)
a = -3
Thus, 4a = 4(-3) = -12
Because a is negative, we know it will be a concave down or concave left parabola. Hence, A and D can be eliminated. And we know it has to be B because the directrix is the horizontal line y = 3. Hence, the equation of the parabola becomes:
or
Equation
-4x + 16 = -116
solve for x
-4x + 16 = -116
subtract 16 to both sides
-4x + 16 - 16 = -116 - 16
simplify
-4x = -132
divide -4 to both sides
-4x/-4 = -132/-4
simplify
x = 33
answer: the number is 33
A=bh
A=53*47
A=<span>2491cm^2</span>
Answer:
3 times
Explanation:
We know that:
small diameter = 2 * 10^-2 in
large diameter = 6 * 10^-2 in
We want to know how many times larger is the thin diameter compared to the large one.
We will do this as follows:
large diameter = k * small diameter
where k is the number of times that we want to find
6 * 10^-2 = k * 2 * 10^-2
k = (6 * 10^-2) / (2 * 10^-2)
k = 3
This means that the large diameter is 3 times the small one.
Hope this helps :)
Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = 
x base x height
From the problem,
base = 
x height
let the base = b
height = h
b = h
h = 3b
Input into the formula of area;
24 = x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
