1. What are the radius and center of the circle with the equation (x- 2)2 + (y- 3)²= 25? What is the equation for OA? [P(1, 5) 4 SOLUTION A(-1, 2). -4-2 O -2 4

Q: (x-6)²+(y+6)²=26 What is the radius of the circle?

A:

Q: Given the quadratic equation y=x² + 4x-5 a. Write the equation in the form a(x + h)²+k b. Determine…

A: The given equation y=x2+4x-5. We have to write the equation into vertex form and find its…

Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

Q: Solve by completing the square: (y-3)-(y-4)(y+3) O A. 1-10,1+Vi0 O B. 1-i10,1+i10 O C. 1-2i2,1+ 2i2…

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Q: Solve (D-4) x - y = 0 - 6x + (D+1) Y = 0

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: -3- -5 a. y = (x+ 2)² + 1 b. y= 4(x- 2)² + 1 c. y = (x- 2)² + 1 d. y = (x- 1) – 2

A:

Q: what is the axis of symmetry y = x2 − 2x − 8

A: The axis of symmetry is x,0. Where x=-b2a. The given equation is y=x2-2x-8. Comparing the equation…

Q: solve 35. (2x + 3y)? 36. (r - 2s)? 37. (x + 6)(x – 6) 38. (5 – y)(5 + y)

A: Dear student, since you have posted multiple questions, as per our policy we will answer first…

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

A:

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: -3 -2 -1 0. 1. 2 3. graph for y 4-3(x + 2). y 12 10

A: In this we have to solve for y and make a graph of straight line. So I'm providing hand written…

Q: (x-15)²+(y+10)²=20 What is the radius of the circle? Question 4 (x-15)2 + (y+7)²=272 What is the…

A: *to find:- Radius of circle.

Q: Can you help me step by step with this problem?

A: Obtain the first derivative of the given function as follows.

Q: 1. The point with coordinates (4p, p2) lies on the line with equation 2x 4y+50. Find the two…

A: −21​and25​Explanation:We can find the values of the constant by substituting the coordinate (x,y) of…

Q: Cartesian

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Q: Consider an equation to explain the Academic Performance of students (AP) presented in equation 1.3.…

A: Given regression model is: AP=4.32+0.280S+0.0174A+0.00024T+μ S.E of interceptβ0^=0.32S.E of student…

Q: 17. The height, h, in feet above the ground of a person riding a Ferris wheel can be modeled with…

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Q: Put the equation y = x + 6x + 5 into the form y = (x - h)' + k: Answer: y =

A:

Q: 3. The straight-line distance from Earth to Mars at the time the launch is scheduled is 100 million…

A: To find actual distance (s) ∫abds=∫ab1+dydx2dx given y=-1125x-502+20…

Q: Solve: x dy -(3x+5y) + 15y = 0 and write your solution set as a single equation

A: Remember:1.if ax2+bx+c=0Then, x=-b±b2-4ac2a2. If y1 and y2 are general solutions of a differential…

Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

A:

Q: solve the following equations below?

A: 11. subtract 2x2-9 from 5x2+x+912. y=-x2+2x-4

Q: Which equation passes through the points (3,4) and (6,9)?     y−9=5 over 3(x−6)   y+9=3 over 5(x+6)…

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Q: (D² + 9)y = 0

A:

Q: (x-11)²+(y+9)²=7 What is the x value of the center of the circle?

A: x-a2+y-b2=r2 We know the standard form of Circle  where a,b  Is the center of Circle and r is the…

Q: What are the steps to solve for y? 2x2+3y2=1

A: We have to find value of y from given curve,where curve equation is,

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.