8. 9,000+300+4
9.3,000+50+2
10.1,000+600+40+3
F(x) = 1.8x - 10.....g(x) = -4
f(x) = g(x)
1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
Answer:
Step-by-step explanation:
Dilation does not change the slope, so it remains ...
m = ∆y/∆x = (8-2)/(3-2) = 6/1
m = 6
The length is multiplied by the dilation factor. The original length (d) is given by ...
d = √((∆x)^2 +(∆y)^2) = √(1^2 +6^2) = √37
Then the dilated length is ...
3.5d = 3.5√37 ≈ 21.290
Answer:
162in
Step-by-step explanation:
