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If the vertex angle is three times a base angle What are the angles of an isosceles triangle?
108+36+36 = 180 degrees
How do you graph x2-12x 40?
The graph of a quadratic function is y = ax + bx + c or y = a(x - h) + k, where (h, k) is the vertex. Since x2 - 12x + 40 cannot be factored, then I will complete the square which will give me the vertex. So I will draw the parabola (which opens upward) by using the vertex and the y-intercept, (0, 40). y = x2 - 12x + 40 add and subtract 62 y = x2 - 12x + 62 - 36 + 40 y = (x - 6)2 + 4 so the vertex is (6, 4) which shows that the parabola does not intersect the x-axis. Since the axis of symmetry is x = 6, and the y-intercept point is (0, 40), I have another point (12, 40). I can also find other points by letting x to be 2, or 3, or 4 and finding the corresponding y-values. For example, if x = 3, then y = 13. So the point (3, 13) will give me its symmetric point (9, 13), and so on. Thus, I can use all these points to draw the parabola.
What plus what makes 72 Plus equation?
How about: x-36 = 36 => x = 36+36 => x = 72
What are the zeros and vertex in this quadratic equation 50x2-72?
(-1.2,0),(1.2,0)v(0, -72)50x^2-72=0 factor out 22(25x^2-36)=02(5x+6)(5x-6)=0x=-6/5 and x=6/5The average of these two is zero, substitute that into the equation and you get -72.
How do you solve 3n equals 36?
3n=36 Write the equation n=12 Divide each side of the equation by 3 to get the variable alone.
How do you find the vertex of the parabola 3x squared -x plus 4?
7
Identify the vertex of the parabola y equals 4x2 - 24x plus 38?
There are two ways to solve this problem; one that involves basic calculus skills and one that can be done with algebraic methods. I will do both, and you can choose which one you understand based on your knowledge of mathematics. I will start with the algebraic method. The end goal of this is to get the equation in vertex form, where you will be able to simply read the vertex off of the equation. To do this, we will employ a method called "completing the square". Your original function is: y=4x2-24x+38 This is a parabola, but unfortunately it is not in vertex form. A parabola in vertex form will read as y=(x-a)2+c where "a" and "c" are real numbers. To get the component (x-a)2, we must have a trinomial that can be factored to be a product of the same term squared, that is it must be a trinomial that results from multiplying (x-a)*(x-a). In its current form, the trinomial in your equation is not a perfect square. You cannot express 4x2-24x+38 as product of two of the same binomial terms. So, we must make it a trinomial that is a perfect square. We will use the "completing the square" method. First, however, we must make it so no coefficient exists in front of the x2 term. This will make "completing the square" much easier. To do this, we will have to divide everything by 4. Remember what you do to one side of an equation you must do to both sides. y/4=4x2/4-24x/4+38/4 Simplify this to get: y/4=x2-6x+(19/2) To "complete the square", take the coefficent of the single-x term and halve it, then square it. For this trinomial, the single-x term is -6x: -6/2=3 32=9 This is the number that must be at the end of your trinomial to make it a perfect square. If you can manipulate the equation to get a trinomial of x2-6x+9, this will be a perfect square. Currently, you have x2-6x+(19/2). 19/2 is the same as 9.5. You could make 19/2 into the 9 that you need if you subtracted 1/2. You can do this as long as you do it to both sides of the equation. So, you get: y/4-(1/2)=x2-6x+(19/2)-(1/2) y/4-(1/2)=x2-6x+9 The trinomial you now have on the right side of the equation can be rewritten as (x-3)2, so you get: y/4-(1/2)=(x-3)2 By isolating y, you get an equation of a parabola in vertex form: y/4=(x-3)2+(1/2) y=4((x-3)3+(1/2)) y=4(x-3)3+2 This is vertex form, which reads as y=a(x-b)2+c. In this case, a=4, b=3, and c=2. You can get the vertex of a parabola in this form to be simply (b,c). So, the vertex for this parabola is (3,2). As a side note: the "a" value of a parabola in vertex form (4 for your equation) does not affect its vertex, it simply affects how "fat" or "skinny" the parabola will be. Second side note: If the squared term had happened to have been (x+3)2, the x coordinate of the vertex would be -3, not 3. Since vertex form reads as (x-a)2, "a" must be negative for an equation have (x+a)2 Now, for the calculus approach. This method is much simpler, but you must understand the basic of calculus to do it. I will not explain all of that, because it would take far too long. For this example, I will assume you know the meanings and applications of function maxima and minima are and how to derive a function. Since the function is a parabola, it will only have one critical point, its vertex, and since it is a parabola that opens upward, this critical point will be a minimum. So, the absolute minimum of the parabola is its vertex. By finding the absolute minimum, we find the vertex. To do this, we must first find the first derivative of the function. y=4x2-24x+38 y'=8x-24 By finding where the first derivative equals zero, we find the critical points to investigate on this function to determine if they are minima or maxima. y'=0 8x-24=0 8x=24 x=3 Since there is only one critical point, and since the function is a parabola, we know that this one point is the vertex. There is no need to verify that it is a minimum, although you can do that if you want to. We have found the x-value for the vertex of the function, so now we must find its corresponding y-value for the original function. By plugging in 3 for x in the original function, we get: y=4(3)2-24(3)+38 y=4*9-72=38 y=36-72+38 y=2 So, for x=3, y=2, meaning our vertex is (3,2).
The vertex of the parabola below is at the point 6 1.5 and the point 7 3.5 is on the parabola What is the equation of the parabola?
Since the vertex of the parabola is at the point (6, 1.5) and the point (7, 3.5) is on the parabola, the point (5, 3.5) also is on the parabola (since the axis of symmetry is x = 6). So we have:y = ax2 + bx + c (the general equation of a parabola)(5, 3.5); 3.5 = a(5)2 + b(5) + c3.5 = 25a + 5b + c (1)(7, 3.5); 3.5 = a(7)2 + b(7) + c3.5 = 49a + 7b + c (2)(6, 1.5); 1.5 = a(6)2 + b(6) + c1.5 = 36a + 6b + c (3)Subtract the equation (1) and (3) from the equation (2).0 = 24a + 2b2 = 13a + b which yields b = 2 - 13a0 = 24a + 2b (substitute 2 - 13a for b)0 = 24a + 2(2 - 13a)0 = 24a + 4 - 26a0 = -2a + 4-4 = -2a2 = ab = 2 - 13a (substitute 2 for a)b = 2 - 13(2) = 2 - 26 = -243.5 = 25a + 5b + c (substitute 2 and -24 for a and b)3.5 = 25(2) + 5(-24) + c3.5 = 50 - 120 + c73.5 = cy = ax2 + bx + cy = (2)x2 + (-24)x + 73.5y = 2x2 - 24x + 73.5 (the equation of the parabola)Or,vertex = (6, 1.5) = (-b/2a, c - b2/4a);6 = -b/2ab = -12a1.5 = c - b2/4ac = 1.5 + b2/4a = 1.5 + (-12a)2/4a = 1.5 + 144a2/4a = 1.5 + 36ay = ax2 + bx + c3.5 = a(7)2 + b(7) + c3.5 = 49a + 7b + c3.5 = 49a + 7(-12a) + 1.5 - 36a3.5 = 49a - 84a + 1.5 + 36a3.5 = a + 1.52 = ab = -12a = -12(2) = -24c = 1.5 + 36a = 1.5 + 36(2) = 1.5 + 72 = 73.5
What is the answer to x equals 36?
36=36The "answer" is the number that ' x ' must be in orderto make the equation a true statement.The answer to this equation is: 36 .
How many diagonals can be drawn from one vertex of a six sided?
36
If the vertex angle is three times a base angle What are the angles of an isosceles triangle?
108+36+36 = 180 degrees
What equation equals -36?
1-37
What is the measure of vertex angle in golden triangles?
It is pi/10 radians ( = 36 degrees).
What is the measure of vertex triangle in golden triangle?
It is pi/10 radians ( = 36 degrees).
What is the vertex of the parabola represented by the equation y equals 2x 24x-100?
Assuming you mean y=2x(24x-100)=48x2-200xThe vertex is the coordinate (p,q) when a function of a form y=ax2+bx+c is arranged into the form y=a(x-p)2+q.Divide y by the coeifficient of the x2 term, 48. y = x2-(25/6)xx2-ax = (x-a/2)2-a2/4.So y = [x-(25/6)/2]2-(625/36)/4 = [x-25/12]2-625/144y is now in the form y=a(x+p)2+q, so the vertex of 48x2-200x is (25/12, -625/144)
What question is answered by the solution to the equation 36 equals 3m?
Well either 12 or you could ask someone smart
How do you graph x2-12x 40?
The graph of a quadratic function is y = ax + bx + c or y = a(x - h) + k, where (h, k) is the vertex. Since x2 - 12x + 40 cannot be factored, then I will complete the square which will give me the vertex. So I will draw the parabola (which opens upward) by using the vertex and the y-intercept, (0, 40). y = x2 - 12x + 40 add and subtract 62 y = x2 - 12x + 62 - 36 + 40 y = (x - 6)2 + 4 so the vertex is (6, 4) which shows that the parabola does not intersect the x-axis. Since the axis of symmetry is x = 6, and the y-intercept point is (0, 40), I have another point (12, 40). I can also find other points by letting x to be 2, or 3, or 4 and finding the corresponding y-values. For example, if x = 3, then y = 13. So the point (3, 13) will give me its symmetric point (9, 13), and so on. Thus, I can use all these points to draw the parabola.
