The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204
5y-10=90
5y=90+10
5y=100
y=20
The statement that justifies why ∠EBC measures 90° is that the sum of the measures of two complementary angles is 90 degrees.
<h3>What are
complementary angles?</h3>
The complementary angles are angles that when we find their sum it will be equal to 90 degrees and that is why its been regarded as the complementary angles.
We can see that m∠ABD and m∠DBC are complementary, because m∠ABD + m∠DBC=90°
Therefore, The statement that justifies why ∠EBC measures 90° is that the sum of the measures of two complementary angles is 90 degrees.
Read more about complementary angles ;
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26% less = 74% of the original
In other word, $289 is 74% of the Original Price
629 = 74% * x
629 = .74*x
629/.74 = x
x = 850
Original price is $850
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Answer:
4.5
Step-by-step explanation:
9.5-5=4.5
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