Answer:
f(x)= (x+8)^2 + 200
Step-by-step explanation:
-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).
H is the x coordinate and K is the y coordinate
Area= Length* Width
⇒ 12 ft^2= 5 ft* Width
⇒ Width= 12 ft^2/ 5 ft
⇒ Width= 2.4 ft
The width is 2.4 ft~
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer:

Step-by-step explanation:
Given
Shape: Opening of a circular vase


Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.

Solve for radius (r)



Substitute 6.75 for r in 


--- Approximated
Answer:
1/2
Step-by-step explanation:
Given data
Total melon= 1 1/2
In simple fraction= 3/2
DIvide 3/2 by 2
= 3/2/3
=3/2 * 1/3
=3/6
= 1/2
Hence each person will get 1/2 of the whole water melon