Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
Answer:
Step-by-step explanation:
(-6+12i)-(7-19i)=
-6+12i-7+19i=
-13+31i
(b)
Since you know the value of "x", you can plug in the value for "x" in the equation.
[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]
For example:
or 
or y³
x = -2
f(x) = 9x + 7
f(-2) = 9(-2) + 7 = -18 + 7 = -11

(idk if you should have it as a decimal or a fraction)
x = -1
f(x) = 9x + 7
f(-1) = 9(-1) + 7 = -9 + 7 = -2


x = 0
f(x) = 9x + 7
f(0) = 9(0) + 7 = 7


x = 1
f(x) = 9x + 7
f(1) = 9(1) + 7 = 9 + 7 = 16


x = 2
f(x) = 9x + 7
f(2) = 9(2) + 7 = 18 + 7 = 25


You need to determine the solution of f(x) = g(x)
Since you know f(x) = 9x + 7 and
, you can plug in (9x + 7) for f(x), and (
) into g(x)
f(x) = g(x)
You can plug in each value of x into the equation
Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25