Answer:
Your graph would start at the point 0,2 (over 0 up 2). Other points would be (2,8), (4,14), (-2,-4), and so on. A good website for graphing is Desmos.com .you can plug an equation in and it will graph it for you!
Step-by-step explanation:
4 is a perfect square because it takes 2 * 2 to make 4
Answer:
(3,1)
Step-by-step explanation:
i believe this is correct
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:
Step-by-step explanation:
1 and 2/3 rotations. The little gear full rotation is equal to 1/6 of the big gears rotation. So if the big gear rotates once then its equal to 6 of the small rotations the extra 4 of the 10 rotations then becomes 4/6 of the big gears rotation or if simplified further, 2/3. This is my way of solving these questions