What are one of the four regions into which a coordinate plane is separated is called
1 answer:
You might be interested in
Part (a)
<h3>Answer: 12.1</h3>-----------------------
Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
===================================================
Part (b)
<h3>Answer: 15.1</h3>-----------------------
Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.
Segment CD is roughly 15.1 cm long.
We need to convert the equation of the circle to standard form only then we can find the radius and the center of the circle.
From this equation we can write:
Center of the circle is (-1,1) and the radius of the circle is 4.
From this equation we can write:
Center of the circle is (-1,1) and the radius of the circle is 4.