Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height 
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
![A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}](https://tex.z-dn.net/?f=A%20%3Dh%5E%7B2%7D%20%5B5-h%5E%7B2%7D%20%5D%3D5h%5E%7B2%7D%20-h%5E%7B4%7D)
For, A to be greatest ,

⇒ ![h[10-4h^{2} ]=0](https://tex.z-dn.net/?f=h%5B10-4h%5E%7B2%7D%20%5D%3D0)
⇒ 
⇒ 
Therefore, from equation (3), k = 5 - h²
⇒ 
Hence,
Width = 2h =√10 and
Height = 
Answer:
radical 1/2
Step-by-step explanation:
45-45-90 triangle
hyp= radical 1/2 (radical 2)
therefore x (median side aka)= radical 1/2
Least steep graph would be the one that is closest to zero
slope=rise/run, theh smaller the slope, the smaller the rise/run
y=mx+b
m=slope
A. y=3x-16, slope is 3
B. y=2x+7/15, slope is 2
C. y=1/2x+3, slope is 1/2
D. y=1x+24, sloe is 1
1/2 is closest to zero
C is least steep slope
Answer:
Small box: 270
Large box: 900
45s or 45·s
90l or 90·l
Step-by-step explanation:
45·6= 270
90·10=900
Answer:
10
Step-by-step explanation:
10 is the least of the numbers, it is the lowest
10<14,16,20,29