To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
B would be correct the -3 x and 3 x cancel out
The answer is 176 milles in 2 hours
7/8 boats per day will make it
Given:
A race car game takes 6 points from a player each time the player hits a cone.
To find:
The integer which represents the change in total points if the player hits 10 cones.
Solution:
According to the given information,
1 hit = -6 points
Here, negative sign represents the reduction in points after hitting a cone.
If the player hits 10 cones.
(1 × 10) hit = (-6 × 10) points
10 hit = -60 points
So, the change in total points if the player hits 10 cones is -60.
Therefore, the required integer is -60.
