For this case we have the following expression:
-9x ^ -1y ^ -1 / -15x ^ 5 y ^ -3
For power properties we have:
-9x ^ (- 1-5) y ^ (- 1 - (- 3)) / - 15
Rewriting we have:
9x ^ (- 6) y ^ (- 1 + 3) / 15
3x ^ (- 6) y ^ (2) / 5
3y ^ 2 / 5x ^ 6
Answer:
3y ^ 2 / 5x ^ 6Note: answer is not between the options. Rewrite the expression again, or the options.
Answer:
3(a + 5b + 7c) and 2x(2 + 5y + 11z)
Step-by-step explanation:
3a + 15b + 21c
3(a + 5b + 7c)
4x + 10xy + 22xz
2x(2 + 5y + 11z)
R = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.
r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.
r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.
r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.
Answer:
The answer is A and D.
Step-by-step explanation:
Acute angles are angles that are less than 90°.
0° < θ < 90°.
So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.
Answer:
3. undefined (vertical line)
4. 1
7. -4
8. 3
11. undefined (vertical line)
12. -1/3
Step-by-step explanation:
You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)
3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)
4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1
7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4
8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3
11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line
12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3
