Answer:
Thats good!
Step-by-step explanation:
The answer is B because the inverse of a squared number is the square root.
The coordinates of the vertex are (h,k) so we can write:-
f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-
-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3
so the vertex formula is
f(x) = -3(x - 2)^2 - 4
standard form:-
f(x) = -3(x^2 - 4x + 4) - 4
= -3x^2 + 12x - 16
<h3>
Answer: 38.1</h3>
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Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
