Answer: a^3+81ab^2
First, you square (a+9b) which will become (a^2+81b^2)
Then, you multiply it by a and you will get a^3+81ab^2
For this case, the first thing we must do is define a variable.
We have then:
x: real number
Now we write the expression:
-8 / (x + 3)
The number x can be all real different from minus three.
Answer:
-8 / (x + 3)
With x different from -3.
The statement that <A > <C and <B > <D has been proved
<h3>How to prove that <A > <C and <B > <D?</h3>
In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
- Side length AB
- Side length BC
- Side length AD
- Side length CD
The angles opposite the side lengths are:
- Angle D
- Angle B
- Angle C
- Angle A
This means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
Read more about mathematical proofs at:
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Answer:
The equation would be y = -1/2x + 5
Step-by-step explanation:
To find the equation, we first need to use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 0)/(0 - 10)
m = 5/-10
m = -1/2
Now that we have that, we can use that and a point to find the full equation.
y - y1 = m(x - x1)
y - 0 = -1/2(x - 10)
y = -1/2x + 5
Answer:
The approximate volume of the tube is 1,005 cm³
Step-by-step explanation:
To find the volume of the tube, we will follow the steps below:
First, write the formula for calculating the volume of a cylinder
volume of a cylinder = πr²h
where r is the radius and h is the height of the cylindrical cardboard tube
from the question given, height is equal to 20 centimeters and diameter = 8 centimeters but diameter = 2r, this implies that r = d/2 hence radius r =8/2 = 4 centimeters
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
volume of a cylinder = πr²h
≈ 3.14 × 4²× 20
=3.14 × 16× 20
≈1,005 cm³ to the nearest whole cubic centimeter.
The approximate volume of the tube is 1,005 cm³