Answer:
(x+1)^2 + (y+1)^2 = 49
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -1)^2 + (y- -1)^2 = 7^2
Simplifying
(x+1)^2 + (y+1)^2 = 49
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Given, the plot is in the shape of triangle.
First side = x meter
Second side = ( 5x-3 )meters
Third side = ( 7x-6 ) meters
Perimeter of triangle is equal to the sum of all the three sides.
Perimeter = 
Combine like terms by adding all the x terms together and all the constant terms together.
Perimeter = 
Perimeter = 
feet ... Answer
Answer:
14
Step-by-step explanation:
2 plus 5 plus 7
Answer:
The third one :)
Step-by-step explanation:
