53.67 to one decimal place is 53.7 since you round the .6 to the .7
Answer:
The square root of 10 is 3.16227766017
Step-by-step explanation:
4/26 can be simplified by 2. So, this is not the answer.
8/21 cannot be simplified. So, it is one of the answers.
6/19 cannot be simplified. So, it is one of the answers.
9/10 cannot be simplified. So, it is one of the answers.
10/22 can be simplified by 2. So, this is not the answer.
So, the fractions in simplest forms are 8/21, 6/19, and 9/10.
Answer:
y + 2 = -2(x - 3)^2
Step-by-step explanation:
We can see immediately that the vertex is at (3, -2).
The vertex form of the equation of a parabola is
y - k = a(x - h)^2.
If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2. But seeing that this particular parabola opens downward, the equation is
y + 2 = -2(x - 3)^2.
Check: Does the point (2, -4) satisfy this equation?
-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.
The general equation for any circle with its center at point (a, b) is
(x - a)² + (y - b)² = (radius)²
So the circle in the question is centered at (-3, -4), and its radius is 3 .