Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= - 
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
Here's 2 (almost) equations:
m<1 = m<3
m<1 + m<2 + m<2 + m<3 = 360
I got the first one because angle 1 and 3 are on opposite sides, so they must be equal. I got the second one because 2 and (unlisted) 4 must be equal, and all of the angles added must be 360.
Since this is a right triangle, we can you the pythagorean theorem.
a^2 + b^2 = c^2
In this case,
a = 6
b = ?
c = 10
We need to substitute our values into the pythagorean theorem.
(6)^2 + b^2 = (10)^2. Reduce everything to its simplest form.
36 + b^2 = 100. Subtract 36 from both sides.
b^2 = 64. Take the square root of each side.
b = 8.
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Answer:
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