Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
Answer:
c
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
3x - y = 1 → (2)
Adding the 2 equations term by term will eliminate the term in y
4x = 4 ( divide both sides by 4)
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
1 + y = 3 ( subtract 1 from both sides )
y = 2
Solution is (1, 2 ) → c
440,000 is rounded to the nearest ten thousandth
Coordinate points on line(-3,-1) and (3,3)
Parallel lines have same slope
so
m = (3+1)/(3+3) = 4/6 = 2/3
Answer
B. 2/3
