Answer:
(1.5, -2.5)
Step-by-step explanation:
Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.
Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).
Answer:
15x+5+22x+4+60=180
37x=180-60-5
37x=115
x=115/37
x=3
angle b
22*3+4=70°
angle c
15*3+5=50°
have a nice day . hope this helps
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
6>2k+4
2>2k
1>k
k has to be less than 1
Answer: a) k=0
Hope this helps:)