A is in the shape of a quarter circle of a radius of 15cm. B is in the shape of a circle. the area of shape A is 9x the area of
1 answer:
The radius of B is 2.5cm.
<h3>What is a circle?</h3>A circle is the locus of points equidistant from a common point which is called the center of the circle.
Analysis:
Area of circle A = π/4 = π
/4 = 225π/4
Area of circle B = π
But A = 9B
225π/4 = 9 x π
= 225/36 = 25/4
r = = 5/2 = 2.5cm
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First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x =
Simplify to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x =
Simplify to 
/ Your problem should look like: x = 
Simplify
to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9
Answer: x = -15, 9 (C)
First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x =
Simplify
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x =
Simplify
Simplify
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9
Answer: x = -15, 9 (C)
Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were
After the rotation, we have
Thus,
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,