Answer:
12) y=3x-15
14) y=-1/2x
16) y=13x-105
Step-by-step explanation:
Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):
12) y=3x+b
14) y=-1/2x+b
16) y=13x+b
now, we can plug in each of the coordinates given to these equations.
12) (4,-3): 4 is x, -3 is y.
-3=3(4)+b
simplify: b= -15
14) (-4,2): -4 is x, 2 is y
2=-1/2(-4)+b
simplify: b=0
16) (9,12): 9 is x, 12 is y
12=13(9)+b
simplify: b=-105
Now, plug in those numbers to your equation for b value.
12) y=3x-15
14) y=-1/2x
16) y=13x-105
*for 14 we don't need to write anything after -1/2x because b=0*
Answer:
x=3
Step-by-step explanation:
We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.
First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x
Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180
180-45x+25x+57+x=180
237 - 19x = 180
57 = 19x
x=3
Let me know if you need any further explanation.
Answer:
Step-by-step explanation:
Dilation is either : enlargement or shirking.
Simply you multiply the ordered pair times the dilation vector (Origin-Centered)
D.F = dilation factor;
d.f = 5
C' = d.fC
when you multiply a constant times an ordered pair , it multiples into each of the pair.
C' = 5 ( -5 , 1 ) = ( -25, 5 )
In case you were asked for A' , B' (test yourself before checking)
A' = 5 (-4,3) = ( -20 , 15)
B' = 5 ( 2, 3 ) = ( 10, 15)
Dividing the dilated by the original pair results in the dilation factor
A'/A = (-20/15)/(-4,3) = 5(-4,3)/(-4,3) = 5
