Answer:
14units
Step-by-step explanation:
Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).
Using the formula for calculating distance between two points;
AB =√(5-1)²+(3-3)²
AB = √4²
AB = 4
BC = √(5-5)²+(6-3)²
BC = √3²
BC =>3
CD = √(1-5)²+(6-6)²
CD = √(-4)²
CD = √16
CD = 4
AD= √(1-1)²+(6-3)²
AD = √3²
AD = √9
AD =3
Perimeter of the rectangle = AB+BC+BD+AD
Perimeter of the rectangle = 4+3+4+3
Perimeter of the rectangle = 14units
Answer:
9x-8 is the simplified form
The coordinates of point B are (-4 , -2) ⇒ answer H
Step-by-step explanation:
In any circle
- The diameter of the circle passing through its center
- The center of the circle is the mid-point of all diameters
If (x , y) are the coordinates of the mid-point of a line whose end
points are
and
, then
and 
∵ Point C is the center of a circle
∵ AB is the diameter of the circle
∴ C is the mid point of AB
∵ A = (2 , 6) ⇒ 
∵ B = 
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵ 
- Multiply both sides by 2
∴ -2 = 2 + 
- Subtract 2 from both sides
∴
= -4
∴ The x-coordinate of point B is -4
∵ 
- Multiply both sides by 2
∴ 4 = 6 + 
- Subtract 6 from both sides
∴
= -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
Learn more:
You can learn more about the circle in brainly.com/question/9510228
#LearnwithBrainly
<span>The return for the investment is C, or 15.56%. You add the dividend and the capital gain, $4+$3=$7, and then divide by the initial investment price, or $45. 7/45=.1556, or 15.56%.</span>
Answer: 23
Step-by-step explanation: