The volume of the cylinder with a height of 9 cm and a radius of 5 cm is 706.9 cm³, if the radius is doubled, the volume would be 2827.4 cm³ (4 times)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Volume of cylinder = π * radius² * height = π * 5² * 9 = 706.9 cm³
If the radius is doubled:
Volume of cylinder = π * (2 * 5)² * 9 = 2827.4 cm³
The volume of the cylinder with a height of 9 cm and a radius of 5 cm is 706.9 cm³, if the radius is doubled, the volume would be 2827.4 cm³ (4 times)
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Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice
Answer:
675
Step-by-step explanation:
450/2=225
450+225=675
Direct variation is written in the form y = k * x or x = y * k. And, inverse variation is written in the form y = k/x or x = y/k.
For the first problem, if we isolated the y, we would get:
4y = 3x - 1
y = (3/4)x - 1/4
This is written as y = mx + b, which isn’t the form of direct or inverse variation, so the answer is NEITHER.
For the second equation, we could divide by 2 on both sides to isolate x and see if it is in the correct form:
x = 4/y
This is inverse form, so the second question is INVERSE with a constant of variation as 4.
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.