Answer:
D. 6
Step-by-step explanation:
the similarity theorem:
x/9 = 8/12
12x=8 (9)
12x = 72
x = 72/12
x = 6
Answer: Slope is -2 and y int: -1
Step-by-step explanation: y=mx+b is the formula for finding slope & y intercept.
It was in your equation m=-2 and -1 being y intercept
It has line symmetry and rotational symmetry, so A is the answer, hope this helps
Answer:
x = ±
- 3
Explanation:
I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)
(x-3)(x+9)=27
Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)
x^2 + 9x - 3x - 27
(first+ inner + outer + last)
x^2 + 9x - 3x - 27 = 27
Combine like terms, and add 27 to both sides.
x^2 + 6x - 27 + 27 = 27 + 27
x^2 + 6x = 54
Let's complete the square, because factoring doesn't work, and because it's good practice.
x^2 + 6x + ___ = 54 + ____
In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.
x^2 + 6x + 9 = 54 + 9
Now we've got a perfect square factor:
(x + 3)^2 = 63
sqrt(x+3)^2 = 
x + 3 = ± 
x = ±
- 3
Two parallel lines have the same slope.
the slope of the given line is: -2y=-3x+12
y=3/2x -6
so the slope is 3/2
the new line passes (0,0), so the equation is simply: