Integers are positive and negative whole numbers no fractions or decimals.
Real numbers do have fractions and decimals that integers do not.
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
x= -2
Step-by-step explanation:
Rational Function can be expressed as:
Where b is our horizontal shift and q is our vertical shift.
For asymptotes, there are two types which are vertical and horizontal.
Vertical Asymtote is the value of -b itself or x = -b.
Therefore, from the functio:
Our vertical asymtote is x = -2
The vertex would be the point on the right angle like the tip of the right angle
Answer:
31
Step-by-step explanation:
(45) - (+14)
45 - 14 (Negative sign is distributed)
=31
