Answer:
27:33
Step-by-step explanation:
If u multiply both sides of the ratio by the same number, u get an equivalent ratio. By multiplying 9:11 by 3 on both sides, you get 27:33. The difference refers to subtraction. 33-27= 6 which is the difference between the two numbers.
6 √3. Short leg is half the hypotenuse is 6 so x = long leg so x= short leg times √3
Answer:
2
Step-by-step explanation:
4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2. Please use
" ^ " to indicate exponentiation.
Rewrite 4x = 32 - x^2 in the standard form of a quadratic: x^2 + 4x - 32
Then the coefficients are a = 1, b = 4 and c = -32.
Find the discriminant. It is b^2-4ac.
Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.
Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.
So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."
To solve this, you need to isolate/get the variable "m" by itself in the equation:
1. 2m - 1 = 3m Subtract 2m on both sides to get "m" on one side of the equation
2m - 2m - 1 = 3m - 2m
-1 = m
2. 2m = 1 + m Subtract m on both sides to get "m" on one side of the equation
2m - m = 1 + m - m
m = 1
3. m - 1 = 2 Add 1 on both sides to get "m" by itself
m - 1 + 1 = 2 + 1
m = 3
4. 2 + m = 3 Subtract 2 on both sides to get "m" by itself
m = 1
5. -2 + m = 1 Add 2 on both sides to get "m" by itself
m = 3
6. 3 = 1 + m Subtract 1 on both sides to get "m" by itself
2 = m
