The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Since the coefficients of d are not equal, then there can only be one solution
Answer:
x ≈ 61.3
Step-by-step explanation:
Using the Sine rule, that is
= 
( cross- multiply )
5.8 × sinx = 6 × sin58° ( divide both sides by 5.8 )
sin x = 
≈ 0.87729, thus
x = 
(0.87729) ≈ 61.3
3/8
Just divide to find the equal decimal.
3/8 = 0.375
Answer: 0.375 <span>✌️</span>
Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:
f(x) = a(x - h)² + k, where (h, k) is the vertex.
f(x) = a(x - 6)² - 9
Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.
8 = a(1)² - 9
8 = a - 9
a = 17
So, plug in a = 17 into the equation.
<span>f(x) = 17(x - 6)² - 9 ←← your answer.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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