Answer:
C -2.2675
Irrational numbers cannot be expressed as a fraction for any integers and they have decimal expansions
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
The answers are 
and 
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:
Then, let's do 5:
Note that we already have 
, so we do not need to include an additional one.
Now, let us do 8:
See how we already have 
, so we won't have to include that as well.
Finally, let's do 20:
Now see that we already have both 
and 
, so we won't have to include both of them, as they are both extras.
Hence, the answers are and .
<h2><u><em>
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Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
The equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB : 
or, 
= 
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0
