<span>4x^2y + 12xy^2 + 9y^3</span>
Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is
The discriminant of this equation is given by;
where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.
Simplify to get:
This implies that:
Take square root to get:
Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
Answer:
first you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.
Next, you multiply each separate part — 20 x 7 and 3 x 7.
Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.
Step-by-step explanation:
Answer:
Choice 3: 6 <= m <= 12
Step-by-step explanation:
Domain is where the function is defined. And it is defined between 6 and 12