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
Answer:
Step-by-step explanation:
f(x)=-4(x-2)²+3
put x-2=0
axis of symmetry is x=2
g(x)=-2(x²+8x)+15
=-2(x²+8x+4²-4²)+15
=-2(x+4)²+32+15
=-2(x+4)²+47
put x+4=0
axis of symmetry is x=-4
h(x) is minimum at x=1
axis of symmetry is x=1
Answer:
im pretty sure the answer would be C'D' and CD would be equal in length!
Step-by-step explanation:
because you are only reflecting it across the y-axis, no changes will be made to the line itself, only the location of the line :)
Answer:
2a=1/2
a=1/4
Step-by-step explanation:
Answer:
0 is the answer
Step-by-step explanation:
