Answer:

Step-by-step explanation:
To find the inverse of a function, switch the x and y values and isolate y. After switching the x and y values of
, we get
.
Now divide by 2 to isolate y:

The pentagon is translated 1 unit to the left, so the points move to the left by 1 unit. Moving left or right changes the x value, when you move right, the x value increases, when you move left, x decreases. Since x is going left 1 unit:
So x - 1
10 units down. Moving up down or up changes the y value, when you move down, y decreases, when you move up, y increases. Since the pentagon is going down 10 units:
y - 10
Your answer is A
Answer:
∠B = 52°
Step-by-step explanation:
Since we know that the sum of all inner angles of the triangle equal to 180°, then we can make the following equation,
5x + 3x + 2x + 20 = 180
10x = 180 - 20
10x = 160
x = 160 / 10
x = 16
Since we know that ∠B = (2x + 20)°, we can calculate the following
∠B = (2x + 20)°
∠B = (2(16) + 20)°
∠B = (32 + 20)°
∠B = 52°
Answer:
(-5,-28)
Step-by-step explanation:
Given

Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is

By comparison;

To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;

Substitute 10 for b and 1 for a



Substitute
in the given function;




<em>Hence, the coordinates of the vertex is (-5,-28)</em>
Answer:
Option D) 254.3 cm2
Step-by-step explanation:
we know that
The area of a circle is equal to

we have

substitute
