Answer:
The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 85.5 m3.
Step-by-step explanation:
Answer:
y = 3/4x + 6
Step-by-step explanation:
6-3 3
------- = ------
0--4 4
y = mx + b
take coordinates for y and x out of (-4, 3) or (0,6)
6= 3/4 * 0 + b
6 = 0 + b
b = 6
Answer:
h(3) = 35
Step-by-step explanation:
Simplify h(t) = 16t - 4t - 1 to h(t) = 12t -1
Then, plug 3 into the t
h(3) = 12*3 - 1 = 36 - 1 = 35
Answer:
There is exactly 1 solution and it is a double root.
Step-by-step explanation:
To find this, factor the equation and solve.
x^2 + 10x - 25 = 0
(x - 5)(x - 5) = 0
Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Because there are two of the exact same answer, we know it to be a double root.
Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
![\sqrt[5]{x^5}=\sqrt[5]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%7D)
also,
1 can be written as 1⁵
therefore,
![\sqrt[5]{x^5}=\sqrt[5]{1^5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%5E5%7D)
or
x = 1
Hence,
the two roots are x = 1 and x = 4