Answer:
-x - 13
Step-by-step explanation:
5(x-4) + 3x - 9x + 7
First we use the distributive property to remove the parenthesis
5x -20 + 3x - 9x + 7
then we combine the like terms
-x - 13
The answer is A
A. The pre-image will be congruent to the image.
Answer:
Step-by-step explanation:
We can show that 3.83 and 1.95² are close numbers.
1) Recall the method of finding the square of the numbers ending with 5:
- (Multiply the number before 5 to subsequent number add 25 as last digits
Apply this method to get:
- 1.95² = (195/100)² = (19*20*100+25)/10000 = 38025/10000 = 3.8025 ≈ 3.8
2) Use another method, square of the difference:
- 1.95² = (2 - 0.05)² = 2² - 2*2*0.05 + 0.0025 = 4 - 0.2 + 0.025 = 3.8025 ≈ 3.8
If we cancel 3.83 and 1.95², we'll end up with 5.96.
Buckle up, this one was a long one.
I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x).
Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x.
To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x).
Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1.
Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1.
Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.
Set each polynomial equal to 1/24 to get you possible answers for what x can be.
x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24.
x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24