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Vikki [24]
3 years ago
8

Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)

Mathematics
1 answer:
8090 [49]3 years ago
7 0

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 Ax^2+Bx+C multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as (x-/+ number)(x-/+number).

a^2+28a+27

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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In the equation below, what is the value of b? 4(x-2)^2-7=ax^2+bx+c
Finger [1]
We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c ;
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4 0
3 years ago
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A cone and a cylinder have equal radius, r, and equal altitudes, h. If the slant height of the cone is l, then the ratio of the
77julia77 [94]

Given:

radius of cone = r

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radius of cylinder = r

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The lateral area (A) of a cone can be found using the formula:

A\text{ = }\pi rl

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A\text{ = 2}\pi rh

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3 0
1 year ago
Suppose 80% of people enjoy swimming. Suppose 70% of people enjoy running.
Ede4ka [16]

Answer:

95%

Step-by-step explanation:

In this case we can apply a formula that tells us that:  

# (AUB) = #A + #B - #AnB  

Where A would be the ones who enjoy swimming and B would be the ones who enjoy running. AnB is the intersection of both sets, that is, those who enjoy doing both things, these values we have, if we replace them we have left:

#(AUB) = 80% + 70% - 55%

#(AUB) = 95%

Which means that 95% of people enjoy either swimming or running

6 0
3 years ago
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