Answer:
<h2>Side YZ is 8 units long.</h2>
Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that
, which means
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means
and
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

Where
is the hypothenuse and
,
are legs of the triangle.
Replacing all given values, we have

However, by sum of segments, we have
, where
and 

Therefore, side YZ is 8 units long.
Answer:

Step-by-step explanation:
y = 4x - 5 + 3 = 4x - 2
It's an equation of a line in the slope-intercept form.
y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.
The domain of a linear function is the set of all real numbers.
If a slope of linear function is different than 0, then the range is the set of all real numbers.
Answer:
Rational
Step-by-step explanation:
<u>Rational numbers:</u>
Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.
<u>Irrational numbers:</u>
These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0. <u> </u>
![\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}](https://tex.z-dn.net/?f=%5Cimplies%202.89%20%3D%20%5Cdfrac%7B289%7D%7B100%7D%20%5C%20%5C%20%5Ctext%7B%5BIn%7D%20%5C%20%20%5Cfrac%7B%5Ctext%7Bp%7D%7D%7B%5Ctext%7Bq%7D%7D%20%5C%20%5Ctext%7Bform%20%28%5Ctext%7Bq%7D%7D%20%5Cneq%200%29%5D%7D)
Thus, 2.89 is a rational number.