A researcher believes that students do better on a reading test when hearing a constant background sound. She divides a group of students into three random groups, has them read a passage (with different background sounds), and then gives them a test. The following are her results:

Q: Determine the equation of the circle with radius 33​ and center (−1,0).

A: circle with radius 33​ and center (−1,0).

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: . Find the r- and y-intercepts of 3x – 12y = 12 and graph the line on the xy-coordinate system. Show…

A: We have to find the x-intercept and y-intersept then draw the graph

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: I have solved all four partsExplanation:         a. To find the x-intercept of each line, we set y =…

Q: 4b. x? — у? + 2? -1 Name the curve

A: Given: x2-y2+z2=1

Q: Find the equation of the circle

A: Given equation x2+y2-6x-4y+9=0

Q: Find the intersection point(s) of the curves whose equations are: 5x - 4 %3D 2x - 4x + 22 The…

A:

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Q: Convert x + 6x+y-10y-15-0 into the standard form of the equation of a circle. Equation: (x 2+(y…

A:

Q: How would I draw the circles to these points?

A: (1) It is known that, the standard form of the equation of a circle with the center at (0,0) is,x2 +…