9514 1404 393
Answer:
Step-by-step explanation:
Using the given information, we have ...
BH = 2·HF
3x +6 = 2(2x -1)
3x +6 = 4x -2
8 = x
__
The length of the median is ...
BF = BH + HF
BF = (3x +6) +(2x -1) = 5x +5
BF = 5·8 +5
BF = 45
Answer:
-225 ft
Step-by-step explanation:
Initial position:
Movements:
- - 245 - 83 + 103 = -225 ft
Final position is -225 ft, choice B
If Deliah does jumping jacks at a constant rate, this means that she does them at the same pace or you could say that she does the same amount of jumping jacks in a specified amount of time, ie. if you counted how many jumping jacks she did in one minute, it would be same as how many she would complete in the next minute, and the next, and so on.
Now given that she does 184 jumping jacks in four minutes, and she has kept a constant pace throughout, to find out how many she does each minute, we simply need to divide the number of jumping jacks she does in 4 minutes by 4. Thus:
Jumping jacks in 1 minute = Jumping jacks in 4 minutes / 4
= 184 / 4
= 46
Thus, Deliah can do 46 jumping jacks per minute.
Answer:500
Step-by-step explanation:
Step by step
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5
Now, 4a = 1; a =

So, the vertex form is (x + 2)² = 4(

)(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.
∴ F(-2, -5 +

)
F(-2,

)