<span>S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2
98a+14b-44=0
14a+3b-6=0
a=24/49, b=-2/7
y = (24/49)x^2-(2/7)</span>
Area of circle = πr²
Area of circle = π x 12 x 12
Area of circle = 452.4cm² (nearest tenth)
For part A, if P is the center of that triangle, then PR and PT have the same length; therefore, triangle RPT is isosceles. For part B, by the definition of an incenter...if P is an incenter, then it is the place where all the angle bisectors meet. Therefore, angles SRP and PRT are congruent, as are angles STP and PTR. Since the vertex angle measures 64, then each of the base angles by the isosceles triangle theorem measure 58. Half of 58 makes the base angles within the smaller triangle measure 29. And if both of those measure 29, by the triangle angle-sum theorem, 180-29-29 = 122 And that's the measure of angle RPT. Eek.
The range of the dataset = 47
What is the range of a dataset?
The range of a set of data is the difference between the greatest number and least number
The given data set is:
{14, 25, 61, 18, 30, 32, 28, 45, 21}
The greatest number = 61
The least number = 14
The range of the dataset = Greatest Number - Least Number
The range of the dataset = 61 - 14
The range of the dataset = 47
Learn more on range of a distribution here: brainly.com/question/4679134
Answer:
-2
Step-by-step explanation:
Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:

which simplifies a bit to

and
-1 = a(1) - 3. Therefore, a = 2 and our parabola is

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

And there you have it! I'm very surprised that this question sat unanswered for so very long! I'm sorry I didn't see it earlier!