This is rectangle ABCD, where coordinates of the vertices are: A ( ( 4, 3 ); B ( 11, 3 ); C ( 11, 9 ) and D ( 4, 9 ). The area of the rectangle is: A = L x W ( L - length and W - width ). Length = AB = 11 - 4 = 7. Width = BC = 9 - 3 = 6. Finally: A = 7 * 6 = 42. Answer: The area of a rectangle is 42. Hope this helps. Let me know if you need additional help!
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center of the circle.
By comparison, (x - 2)^2 + (y + 5)^2 = 16 has center at point (2, -5).
Translating the circle 4 units to the left and 1 unit up gives a new center at point (2 - 4, -5 + 1) = (-2, -4)
Answer:
Step-by-step explanation:
Substitute the second equation into the first ():
The second equation already denotes . Therefore,
Answer:
x > - 16
Step-by-step explanation:
41- 3/4 x < 53
Subtract 41 from each side
41-41- 3/4 x < 53-41
-3/4x < 12
Multiply each side by -4/3, remembering to flip the inequality
-4/3 * -3/4x > 12 * -4/3
x > - 16
Answer: 48m²
Step-by-step explanation:
We can set up an equation to find the length. Once we have the length, we can multiply it with the width to get out area.
Now that we have our length and width, we can plug in width into our length and find the area.