Answer:
Step-by-step explanation:
-2.8, -13/9, .25, 2/3, 1 7/8, 2.16
Using the shortcut for binomial expansion, which still took 45 minutes, I got 23-26. The coefficient on the x^6 term is 34,020; the coefficient on the x^4 term is -495; on the x^7 term it's 1800; on the x^3 term it's 337,920. I'm pooped. The rest is factorial notation, kinda the same thing, but...
Answer:
1) 14/3 (D)
2) -0.6 (C)
Step-by-step explanation:
1) 5-(2/3)*(2/3//4/3)
2)|-1.2-2.03|-2.03/-2
Answer:
C. -3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line <em>m </em>is perpendicular to line <em>l. </em>
Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.
Negative: switch the sign
2/3 --> -2/3
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-2/3 --> -3/2
Line <em>m</em> has a slope of -3/2 and C is correct.
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
