Express as a trinomial. (3x+5)(2x+9)
2 answers:
Answer:
Step-by-step explanation:
Hello!
A trinomial is a algebraic expression containing 3 terms
To turn this into a trinomial we have to multiply everything by each other
<u> 3x </u>
3x * 2x = 6x^2
3x * 9 = 27x
<u> 5 </u>
5 * 2x = 10x
5 * 9 = 45
Now we put it all together
6x^2 + 27x + 10x + 45
Combine like terms
6x^2 + 37x + 45
The answer is
Hope this helps!
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Answer:
Length of the rectangle is = 8 inches.
Step-by-step explanation:
Given :
Area of square = Area of the rectangle
According to the question:
Length of the square be 'x'.
Its area = (Side)*(Side) = ...equation (i)
Length of the rectangle =
Width of the rectangle =
Area of the rectangle =Length * Width
⇒
⇒ ...equation (ii)
Equating both the equation as area of both the figure are equal.
⇒
⇒ ...subtracting
both sides
⇒ ...dividing both sides with 2
⇒ inches
Plugging the value of x=4 in the length of the rectangle.
We have,
⇒
So the length of the rectangle = 8 inches.
Given:
Volume of a sphere is times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is times the surface area.
Multiply both sides by 3.
Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.