Answer:
The answer is
±
in exact form or
,
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring
, which will look like
. Next, simplify the equation again, which will look like
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:



The next step is to substitute the values
,
, and
into the quadratic formula and solve. The quadratic formula will look like
. To simplify the equation, start by simplifying the numerator, which will look like
. Then, multiply 2 by 1 and simplify the equation, which will look like
. The final answer is
±
in exact form. In decimal form, the final answer is
,
.
The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
Answer:
211/40, B
Step-by-step explanation:
Make it an improper fraction:
5 x 40 = 200, 200 + 11 = 211
211/40, B
Answer:

And if we want to find
we can use this formula from the definition of independent events :

And the best option would be:

Step-by-step explanation:
For this case we have the following events A and B and we also have the probabilities for each one given:

And if we want to find
we can use this formula from the definition of independent events :

And the best option would be:

If x = 2 than, 6(4x2)=48
-3(8x)= -24
It would equal 24