Need help with a couple of homework problems asap please

[susu]

1- Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. (Select all that apply.)x > 3

2-Find a point on the y-axis that is equidistant from the points (7, −7) and (1,1)

3-Given A(6, -7) and B(-3, -1), find the point on segment AB that is three-fourths of the way from A to B.

4-Find an equation of the circle that satisfies the given conditions.
Endpoints of a diameter are P(−2, 1) and Q(6, 7).

5-Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x² + y² − 6x + 8y + 24 = 0




6-A rectangle is bounded by the x-axis and the semicircle y = √36 – x², as shown in the figure below. Write the area A of the rectangle as a function of x, and determine the domain of the area function


Thanks

 

[burakaltr]

1- Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. (Select all that apply.)x > 3
2-Find a point on the y-axis that is equidistant from the points (7, −7) and (1,1)
3-Given A(6, -7) and B(-3, -1), find the point on segment AB that is three-fourths of the way from A to B.
4-Find an equation of the circle that satisfies the given conditions.
Endpoints of a diameter are P(−2, 1) and Q(6, 7).
5-Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x² + y² − 6x + 8y + 24 = 0
6-A rectangle is bounded by the x-axis and the semicircle y = √36 – x², as shown in the figure below. Write the area A of the rectangle as a function of x, and determine the domain of the area function
Thanks

1. x>3, y can be anything so quadrants where ( 4,4 ) and ( 5,-5) lie - upto you to name the 2 quads
2. (x,y) where (x-7)**2+(y--7)**2 = (x-1 )**2 + (y-1)**2
3.form vector AB=B-A ===> you play with coordinates here : divide ,AB , by 4 then multiply with 3 and add to A vector
4. r=the distance between the two given points where r is the radius
5. Get this into for (x-Cx)**2 + (y-Cy)**2 = r**2 where r is the radius, Cx and Cy coordinates of the Center of the circle
6. Use integration ( first graph ) OR derive the relations between these

6. is a bit, tricky so :

r=6 units , a semi-circle area is defined here.

Find A and relate to rectangle by binding term which is x ( I can not see a rectangle, so you please do it as you see )

A is real so what x's would satisfy this condition ?

7. Good Luck !

 

[susu]

Thank you!

 

[Deleted member 4993]

1- Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. (Select all that apply.)x > 3

2-Find a point on the y-axis that is equidistant from the points (7, −7) and (1,1)

3-Given A(6, -7) and B(-3, -1), find the point on segment AB that is three-fourths of the way from A to B.

4-Find an equation of the circle that satisfies the given conditions.
Endpoints of a diameter are P(−2, 1) and Q(6, 7).

5-Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x² + y² − 6x + 8y + 24 = 0




6-A rectangle is bounded by the x-axis and the semicircle y = √36 – x², as shown in the figure below. Write the area A of the rectangle as a function of x, and determine the domain of the area function


Thanks

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