Answer:
B ±sqrt((y-k)/a ) + h= x
Step-by-step explanation:
y=a(x-h)^2+k
Subtract k from each side
y-k = a(x-h)^2+k-k
y-k = a(x-h)^2
Divide by a
(y-k)/a = a(x-h)^2/a
(y-k)/a = (x-h)^2
Take the square root of each side
±sqrt((y-k)/a )= sqrt((x-h)^2)
±sqrt((y-k)/a )= (x-h)
Add h to each side
±sqrt((y-k)/a ) + h= (x-h+h)
±sqrt((y-k)/a ) + h= x
Answer:
20260275
Step-by-step explanation:
the question is same as selecting 4 things from 150 things
= C(150,4). (nCr formula)
=[150×149×148×147]÷[4×3×2×1]
= 49×75×149×37
= 20260275
Answer:
Option C . 5.3 in
Step-by-step explanation:
<u><em>The complete question is</em></u>
An art project has an area of 63.6 square inches. What is the width, in inches, of the project?
A rectangle is shown divided into 4 smaller rectangles that are related to the size of the edges. The top edge is labeled 10 inches and 2 inches, above the top two rectangles. The top two rectangles are much larger than the bottom two rectangles
Let
x ----> the length of the art project in inches
y ----> the width of the art project in inches
we know that
The area of the rectangular art project is equal to

we have

so
----> equation A

substitute the value of x in the equation A
solve for y

<span>x in (-oo:+oo)
((5-9*x)^1)/2 = ((4*x+3)^1)/2 // - ((4*x+3)^1)/2
((5-9*x)^1)/2-(((4*x+3)^1)/2) = 0
(5-9*x)/2-((4*x+3)/2) = 0
(5-9*x)/2+(-1*(4*x+3))/2 = 0
5-1*(4*x+3)-9*x = 0
2-13*x = 0
(2-13*x)/2 = 0
(2-13*x)/2 = 0 // * 2
2-13*x = 0
2-13*x = 0 // - 2
-13*x = -2 // : -13
x = -2/(-13)
x = 2/13
x = 2/13</span>