Answer:
240 = w (2w − 4) (w − 1)
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given:
V = 240
l = 2w − 4
h = w − 1
Substituting:
240 = w (2w − 4) (w − 1)
Answer:
(x +5)²/4 +(y +8)²/36 = 1
Step-by-step explanation:
The equation of an ellipse with center (h, k) and semi-axes "a" and "b" (where "a" is in the x-direction and "b" is in the y-direction) can be written as ...
((x -h)/a)² +((y -k)/b)² = 1
Here, the center is at (h, k) = (-5, -8), and the semi-minor axis is a=2, while the semi-major axis is b=6.
The equation can be written as ...
((x +5)/2)² +((y +8)/6)² = 1
More conventionally, it is written ...
(x +5)²/4 +(y +8)²/36 = 1
Answer:
x = 1, -5.56
Step-by-step explanation:
x^2 = -7x - 8
shift -7x and -8 to the other side . Remember when u shift minus changes into plus.
x^2 + 7x + 8 = 0
using quadratic equation formula
in quadratic equation one value comes positive and other comes in negative
a = 1 , b = 7 and c = 8
taking positive sign
x = (-b + 
) /2*a
x = (-7 + 
) /2*1
x = (-7 + 
) /2
x = (-7 + 
)/ 2
x = -7 + 9 / 2
x = 2/2
x = 1
taking negative sign
(-b - ) /2*a
x = (-7 - ) /2*1
x = (-7 - 
) /2
x = -7 - 
/ 2
x = -7 - 4.12 / 2
x = -11.12/2
x = -5.56
therefore x = 1 , - 5.56
