9x^2 -c =d
add c to each side
9x^2 = c+d
divide by 9
x^2=(c+d)/9
take the square root on each side
x = +- sqrt ((c+d)/9)
simplify
x = +- 1/3 sqrt (c+d)
Answer: 1/3 sqrt (c+d), - 1/3 sqrt (c+d)
Answer: In the equations that you have given, we have a dependent system.
2x + y = 8 (I assumed that you meant to type y instead of 7)
6x + 3y = 24
To use Cramer's Rule, we have to take the determinant of 3 different matrices written in the problem. Taking the determinant of the coefficient matrix produces a zero.
2 1 This is the coefficient matrix.
6 3
6 - 6 = 0
Since this is 0, the rest of the work will be undefined meaning the systems are dependent (or they are the versions of the same equation).
Answer:
D
Step-by-step explanation:
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.
Answer:
<20,23>
Step-by-step explanation:
u= <4,5> and v= <0,-1>
2v = 2*<0,-1> = <0,-2>
5u = 5* <4,5> = <20,25>
2v+5u = <0,-2> + <20,25>
= <20,23>
