Answer: a = 3
Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2
so the slope is -3 and the y-intercept is 16
so a*-3 + 16 = 7
by subtracting 16 on both sides you get
-3a = -9
and to get a by itself you divide -3 on both sides
a = -9/-3
a= 9/3
a = 3
Answer: there are 5 more girls than boys.
Step-by-step explanation:
The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11
If there are 55 students in total, it means that the number of boys in the class is
5/11 × 55 = 25 boys
Also, the number of girls in the class is
6/11 × 55 = 30 girls
Therefore, the difference between the number of girls and boys in the class is
30 - 25 = 5 girls
Answer:
(5x +4y)^2
Step-by-step explanation:
The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...
25x^2 +40xy +16y^2 = (5x +4y)^2
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It matches the pattern ...
a^2 +2ab +b^2 = (a +b)^2