Moses: God told Moses to go back to Egypt and demand the Israelites be released. He then led the Israelites across the red sea and settled on Mount Sinai and received the ten commandments. Moses died before making it to the promised land
Answer:
x = 2.5
Step-by-step explanation:
In order to solve for x, we need to write an equation. This question gives us the angles of a triangle, so we can use this to write our equation. All angles of a triangle will always add to 180 degrees, therefore:
(12x+6) + 104 + 40 = 180
Now we can just take out the brackets, combine like terms and isolate and solve for x:
12x + 6 + 104 + 40 = 180
12x + 150 = 180
12x + 150 - 150 = 180 - 150
12x = 30
12x/12 = 30/12
x = 2.5
Hope this helped!
You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5
(x + 3)² + (y - 12)² = (5)² ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
</span>
x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
x² + 6x + y² - 24y + 128 = 0 is your equation. reorder it so that it's from the highest degree to the lowest: x² + y² + 6x - 24y + 128 = 0 is your result (C).
The answer in fraction form is c = 1/2
The answer in decimal form is c = 0.5
=============================
Explanation:
Saying "A is 1 less than B" means A = B-1. So whatever B is, subtract 1 from it and you get the value of A.
Replace A with the expression 2(3-5c). Replace B with 4(1-c)
We go from this
A = B - 1
to this
2(3-5c) = 4(1-c) - 1
----------
Let's isolate c
2(3-5c) = 4(1-c) - 1
2(3)+2(-5c) = 4(1)+4(-c) - 1
6-10c = 4 - 4c - 1
6-10c = 3 - 4c
6-3 = -4c+10c
3 = 6c
6c = 3
c = 3/6
c = 1/2
c = 0.5