<span>(2p + q) ( –3q – 6p + 1)
= -6pq - 12p^2 + 2p - 3q^2 - 6pq + q
= -12p^2 -12pq +2p -3q^2 + q
so answer is b. </span> -12p^2 -12pq +2p -3q^2 + q
Answer:
28π cm²
Step-by-step explanation:
The surface of a cylinder is given by the formula:
where r is the radius of the base, and h is the height.
Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.
Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.
Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:
2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π
Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).
The surface area of the cylinder would be 28π cm².
28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.
I hope you find this helpful. :)
Answer:
or
Step-by-step explanation:
The expression can be simplified by first writing the fraction under one single radical instead of two.
5/15 simplifies because both share the same factor 5.
It becomes
This can simplify further by breaking apart the radical.
A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.
Answer:
add all of them and divide by 2
Step-by-step explanation:
Answer:
x= -3 or 4/3
Step-by-step explanation:
3x²+5x-12 =0
3x²+9x-4x-12=0
3x(x+3) -4(x+3) =0
(3x-4)(x+3)=0
x=-3 or 4/3