Answer:
x = -7
, y = -5
Step-by-step explanation:
Solve the following system:
{3 y - 3 x = 6 | (equation 1)
3 x + 5 y = -46 | (equation 2)
Add equation 1 to equation 2:
{-(3 x) + 3 y = 6 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 1 by 3:
{-x + y = 2 | (equation 1)
0 x+8 y = -40 | (equation 2)
Divide equation 2 by 8:
{-x + y = 2 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract equation 2 from equation 1:
{-x+0 y = 7 | (equation 1)
0 x+y = -5 | (equation 2)
Multiply equation 1 by -1:
{x+0 y = -7 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = -7
, y = -5
Answer: y = -(x+5/2)^2+73/4
Step-by-step explanation:
Answer:
1). 10. 2). 9. 3). 2(square root)14. 4). (square root)6. 5). right triangle. 6). not a right triangle. 7). 13. 8). 3(square root)34. 9). acute. 10). acute. 11). right. 12). obtuse
Step-by-step explanation:
Let the width of the coop be x. Then the height is x - 2, and the length is x + 10. Then the volume of the coop (a rectangular prism) is:
y = x(x-2)(x+10) = x^3 + 8x^2 - 20x
Based on the given format, this means that:
a = 1
b = 8
c = -20
d = 0
Answer: 0.0578
Step-by-step explanation:
Given : Number of chairs = 20
Number of chairs made for lefties =8
Number of chairs made for righties= 20-8=12
Now, total number of way for selecting 5 chairs from 20 =
![[\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D)
Number of ways to select at least 4 seats for lefies :-
Now, the probability that at least 4 of those selected will be seats for lefties :-
hence, the required probability = 0.0578
