Answer:
Vertex = (-4,-5)
P-value = -2
Opens Downward
Step-by-step explanation:
Given:
- Focus = (-4,-7)
- Directrix = -3
Since focus is less than directrix, the parabola obviously opens downward.
To find vertex (h,k), for downward parabola, focus is (h, k + p) and directrix is y = k - p
We have:
First equation being focus and second being directrix, solve the simultaneous equation:
Substitute k = -5 in any equation - I’ll choose (1) for this:
Therefore vertex is at (h,k) = (-4,-5) with p-value being -2 since p < 0 then the parabola opens downward.
Attachment added for visual reference
Hey there!
The area of a trapezoid is h(a+b/2), where h is the height and a and b are the two bases. We already have our area, so let's solve for our height in the equation.
40= x(16/2)
40=8x
x=5
Therefore, the height is B) five units.
I hope this helps!
Hello!
When you have an equation like 7x that means 7 * x, so it's like this.
2 * r = 4, or 2 times a number is 4.
With this, your answer is 2. Because 2 * 2 = 4.
Hope this helps! ☺♥
Answer:
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Step-by-step explanation: