Answer:
x = -1.2
Step-by-step explanation:
Th given equation is :
34(x + 4) = 14(x + 8)
Step (A) Distribute 34 on the left side of the equation such as :
34x + 34(4) = 14(x + 8)
34x + 136 = 14(x + 8)
Step (B) Distribute 14 on the right side of the equation such as :
34x + 136 = 14x + 14(8)
34x + 136 = 14x + 112
Step (C) Subtract 14x from each side of the equation.
34x + 136 - 14x = 14x + 112 -14x
20x + 136 = 112
Step (D) Subtract 136 from each side of the equation.
20x + 136 -136 = 112 -136
20x = -24
Step (E) Divide both side by 20
So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.
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:
48
Step-by-step explanation:
66*2=132
180-132=48
Hope this helps!
If not, I am sorry.
You know what its probably 7.44
Answer:
Step-by-step explanation:
go to the left by two
