The equation of the parabola is y - 1 = (2/3) * (x - 3)².
<h3>What is equation of the parabola ?</h3>
The general equation of a parabola is: y-k = a(x-h)²
(h, k) - Coordinates of the vertex.
a - Vertex constant
Here:
(h, k) = (3, 1) and (x, y) = (0, 7).
So,
7 - 1 = C · (0 - 3)²
6 = 9 · C
C = 2/3
Learn more about parabola here:
brainly.com/question/22132428
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Y= 1 - 5x^2
now, f(3) = 1 - 5 (3)^2
= 1 - 5(9) = -44
We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in
Answer:
313.5 feet cubed
Step-by-step explanation:
A = a+b /2 (h)
14+24/2(16.5)
38/2 (16.5)
= 313.5
Answer:
you have a 7/12 chance
Step-by-step explanation:
The sample space has 12 elements:
T1, T2, T3, T4, T5, T6
H1, H2, H3, H4, H5, H6
(From a combinatorics perspective, there are 2 options for the coin and 6 for the die for a total of 2 * 6 = 12.)
There are 6 heads results and one tales result that has a 4 for a total of 7 possibilities that meet your criteria. That makes the probability 7 / 12.
here is the link for where i got my answer https://www.quora.com/If-you-flip-a-coin-and-roll-a-die-what-is-the-probability-the-coin-lands-heads-up-or-the-die-lands-showing-the-number-4