Answer:
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
So the standard form of the parabola is written as.
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
Speed = (distance) / (time)
= (100 meters) / (5 seconds)
= 20 meters per second .
(about 44.74 miles per hour, rounded)
For number 32, there is 25 blocks in all. 25 is one fourth of 100 (percent means out of 100), so, after you count up all the shaded blocks, multiply it by 4. After doing this you should have 16 times 4. Once multiplying, you should get the answer:
64%
Answer:
1 is x=12
2 is x= 1/5
Step-by-step explanation:
For equation number 1 you just add 10 and 2, which is 12.
For equation number 2 you divide 2 by 10 and simplify it to 1/5. So x = 1/5