Answer:
4x^4y + 20x^2y^2 - 28x^3y
Step-by-step explanation:
4xy(x^3 + 5xy - 7x^2)
= 4xyx^3 + 4xy * 5xy - 4xy * 7x^2
= 4x^2y + 4xy * 5xy - 4xy * 7x^2
= 4x^4y + 20x^2y^2 - 4xy * 7x^2
= 4x^4y + 20x^2y^2 - 28x^3y
<u>Answer:</u>
BC = 18 cm
<u>Step-by-step explanation:</u>
As we can see from the diagram:
AB + BC + CD = AD
⇒ 10 cm + BC + 11 cm = 39 cm
⇒ BC + 21 cm = 39 cm
⇒ BC = 39 cm - 21 cm
⇒ BC = 18 cm
Answer:
When (3b³)² is simplified, it equals 3b⁶
Step-by-step explanation:
3 × 2 = 6
The exponent is 6
Answer:
D is your answer
Step-by-step explanation:
(2y-7) (y+6) that is my answer and it matches with D promise 100%
Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³