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:
1) No
2) Yes
3) angle UXS = 120 degrees
4) arc CB = 40 degrees
Step-by-step explanation:
If AB is tangent to the circle, then angle at A would be 90 degrees.
1)
Is 13^2 + 14.6^2 = 19.4^2?
169 + 213.16 = 376.36 No
2)
Is 8^2 + 6^2 = 10^2?
64 + 36 = 100 Yes
3)
arc WS = arc VU + arc TU = 113 degrees
arc ST = arc WV because their chords cross making a pair of vertical angles.
full circle = 360 degrees
360-113 - 113 = 134 degrees
134/2 = 67 degrees for arc ST
arc STU = 67 + 53 = 120 degrees
Angle UXS = 120 degrees
4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.
Answer:
f = 3x^2+ 1 / x
Step-by-step explanation:
Let's solve for f.
fx=3x2+1
Step 1: Divide both sides by x.
fx / x = 3x^2+1 / x
f= 3x2+1 / x
Answer: the answer is 8
Step-by-step explanation:
Did you say he can choose " 1 snack " ?
Well then. There are 9 different items in the box, so he has
9 different choices of snack.
I guess that means he can choose his snack in 9 ways.
