To solve the value of x in the above equation, here are the steps.
1. Subtract 13 on both sides of the equation.
2. Divide both sides of the equation by 4.
3. Get the square root on both sides of the equation.
The possible values of x are +3 and -3. The smaller value is -3.
Answer:
AAA
Step-by-step explanation:
AAA is not a congruence theorem or postulate.
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Answer:
We know that:
(a - b)^2 = a^2 - 2ab + b^2
and:
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ac + 2bc + 2ab
Then:
(a - b)^4 = (a - b)^2*(a- b)^2 = (a^2 - 2ab + b^2)^2
Now we can just solve that last expression using the second expansion.
So, if we apply that to our case, we will have:
(1 - 4x)^2 = (1^2 - 2*1*4x + (4x)^2)^2
= (1 - 8x + 16x^2)^2
= 1^2 + (-8x)^2 + (16x^2)^2 + 2*1*(-8x) + 2*1*(16x^2) + 2*(-8x)*(16x^2)
= 1 + 64x^2 + 256x^4 - 16x + 32x^2 - 256x^3
= 256x^4 - 256x^3 + 96x^2 - 16x + 1