Multiply by 2 which will get you a diameter and then multiply it by pi which is 3.14.
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They are both correct, and their expressions are equivalent.'
9(S + T) + 45 = 9S + 9T + 45
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Answer:
<u>x = 39</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle always add up to 180 degrees.
Upon saying that, we have:
102 + 39 + x = 180
x = 180 - 102 - 39
x = 39
<u>The value of x is 39 degrees</u>
The function given can be classified as a function. That is option C.
<h3>What is a function in mathematics?</h3>
Function can be defined as the expression that has both an x domain value and a y range value and it's being classified based on the quality of these values.
A function can be represented based on their roster forms.
Using the function equation given, f(X) = 10.2^2
Here, the first element is the domain or the x value and the second element is the range or the f(x) value of the function.
Learn more about arithmetic function here:
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The quadratic function in vertex form is:
y = a(x - h)^2 + k
Where:
vertex = (h, k)
Axis of symmetry: x = h
The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:
Use vertex = (-4, -1) and y-intercept, (0, 7):
7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1
Add 1 to both sides:
7 + 1 = a(16) - 1 + 1
8 = 16a
Divide both sides by 16 to solve for “a”:
8/16 = 16a/16
1/2 = a
Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:
The quadratic equation in vertex form is:
y = 1/2(x + 4)^2 - 1
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