Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)
1 answer:
Answer:
(a+1)(a+27)
Step-by-step explanation:
Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as
.
A=1, C=27
A*C=27 and add to B=28 which 1 and 27 satisfy
The factors are (a+1)(a+27)
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Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B