Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
Answer:
The answer is D - 382
Step-by-step explanation:
The volume of a sphere can be calculated using this simple formula:
V = 4/3 x 3.14(pi) x r cubed(to the third)
So, V = 4/3 x 3.14 x 4.5 cubed
V = approximately 382
Answer:5
That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.
Finally, you could save time on your proof by noticing on the fourth step that
1cosxsinx=1cosx1sinx=secxcscx
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Step-by-step explanation:
40% of 45 =
.40 × 45 = 18
this is how many comedies he has.
45-18 = 27 action adventures.
3 x 0.79= $2.37
2 x 1.29= $2.58
4 x 0.15= $0.60
9 x 0.38= $3.42
$2.37 + $2.58 + $0.60 + $3.42= $8.97
$20.00 - $8.97= $11.03
The answer is $11.03