Answer:
P = 126; A = 927
Step-by-step explanation:
Enlarging by a scale factor means multiplying each number by the given. 6 x 4.5 = 27; 8 x 4.5 = 36. 2(27) + 2(36) = 126; 27 x 36 = 927.
Statements Reasons
1. M lies on AB Given
2. AM+MB=AB Definition of midpoint
3. 2x+2+4x-4 = 16 Segment Addition Postulate
4. 6x-2 = 16 Combining like terms
5. 6x = 18 Addition Property of equality
6. x = 3 Division Property of equality
7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality
8. AM=8 and MB=8 Definition of midpoint
9. M is a midpoint Hence, proved.
The 1st choice is the correct one.
Isabel is correct because the y-intercept of Line B is (0, 9) and the value of y when x = 0 in Parabola A is 9.
Plug 4x=9 in for y:
10x=18-2(4x+9)
10x=18-8x-18
10x=-8x
18x=0
x=0
now plug 0 in for x:
y=4(0)+9
y=9
to check, plug x and y back into one of the equations to make sure they are right:
10(0)=18-2(9)
0=18-2*9
0=18-18
0=0
