Answer:
Volume = 10a³ + 91a² + 54a - 792
Step-by-step explanation:
In the absence of answer choices, let's find the expression for the volume.
Given: Volume = length×width×height
V = lwh
length =(2a + 11)
width =(5a – 12)
height= (a + 6)
V = (2a + 11)(5a – 12) (a + 6)
Expand the first two brackets using distributive property
V = (10a² -24a +55a - 132)(a + 6)
Collect like terms
V = (10a² + 31a -132)(a + 6)
Expand the two brackets using distributive property
V = 10a³ + 31a² - 132a + 60a² + 186a - 792
Collect like terms
V = 10a³ + 91a² + 54a - 792
The expression that represents the volume of the box = 10a³ + 91a² + 54a - 792
Hello there!
I hope you are having a wonderful day!
I would be happy to help!
Your question states: Jenny is 34 years old. Two years ago she was twice as old as her cousin. How old is her cousin now?
Two years ago, she was 32.
One half of 32 is 16
Her cousin was 16 two years ago
16 plus 2 = 18
Her cousin is now 18
34 - 2 = 32
32/2 = 16
16 + 2 = 18
Answer = 18
Hope I helped!
Let me know if you need anything else!
~ Zoe
Answer: (9,7)
Step-by-step explanation:
The equation of the circle in Center-radius form is:
Where the center is at the point (h, k) and the radius is "r".
To rewrite the given equation in Center-radius form, we need to complete the square:
1. Move 124 to the other side of the equation:
2. Group terms:
3. Add to the group of the variable "x" and to the right side of the equation.
4. Add to the group of the variable "y" and to the right side of the equation.
Then:
5. Finally, simplify and convert the left side to squared form:
You can identify that the center of the circle is at:
"of" is written as "x" in number statement:
Write 5 as fraction:
Multiply:
X = 2
You take 7 and subtract 5 to get x