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: Many
Step-by-step explanation:
f(x) = 7x² - 3x + 1
g(x) = 3x - 2
1. g(0) This means that x is 0, so you can plug in 0 for x in the equation:
g(x) = 3x - 2
g(0) = 3(0) - 2
g(0) = -2
2. g(1) x is 1
g(x) = 3x - 2
g(1) = 3(1) - 2
g(1) = 3 - 2
g(1) = 1
3. f(1) x is 1
f(x) = 7x²- 3x + 1
f(1) = 7(1)² - 3(1) + 1
f(1) = 7 - 3 + 1
f(1) = 5
4. f(x) = 7x²- 3x + 1
f(-2) = 7(-2)²- 3(-2) + 1
f(-2) = 7(4) + 6 + 1
f(-2) = 28 + 7
f(-2) = 35
To find the inverse of a function, firt we let
Now we switch x and y and solve for y .
Adding 25 to both sides
Now we need to get rid of square and for that we take square root on both sides. That is
Therefore, inverse is
Answer:
This is a perfect cube.
The side length is 9 centimeters.
Taking the cube root of the volume will determine the side length
Step-by-step explanation:
