Answer:
a ) 0.03
b) 2.64
c) 1.14
Step-by-step explanation:
Given :
a) 0.001
Now need to find square root of 0.001
![\sqrt{0.001} =0.03](https://tex.z-dn.net/?f=%5Csqrt%7B0.001%7D%20%3D0.03)
Similarly
b)
![\sqrt{7.01} =2.64](https://tex.z-dn.net/?f=%5Csqrt%7B7.01%7D%20%3D2.64)
c)
![\sqrt{1.31} =1.14](https://tex.z-dn.net/?f=%5Csqrt%7B1.31%7D%20%3D1.14)
Therefore, answer will be :
a ) 0.03
b) 2.64
c) 1.14
The answer is 1
Use the discramnt formula
![{b {}^{2} - 4ac }](https://tex.z-dn.net/?f=%20%20%7Bb%20%7B%7D%5E%7B2%7D%20-%204ac%20%7D%20)
Where a is 81, B is 18, and c is 1
We get
![18 {}^{2} - 4(81)(1)](https://tex.z-dn.net/?f=18%20%7B%7D%5E%7B2%7D%20%20%20-%204%2881%29%281%29)
We then get 324-324=0
Which equal 0. Since the discramnt produce 0, the number of solution is one and repeated.
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
Answer:
C. 19
Step-by-step explanation:
Since VZ = ZY, VW = WX therefore we can apply the midpoint theorem where a midpoint line is half of the base line.
Thus:
![\displaystyle \large{ZW = \frac{1}{2}YX}\\\displaystyle \large{3x-5 = \frac{1}{2}(5x-2)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%20%5Cfrac%7B1%7D%7B2%7DYX%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B3x-5%20%3D%20%5Cfrac%7B1%7D%7B2%7D%285x-2%29%7D)
Then multiply both sides by 2 to get rid of the denominator and solve for x.
![\displaystyle \large{(3x-5)2= \frac{1}{2}(5x-2)2}\\\displaystyle \large{6x-10= 5x-2}\\\displaystyle \large{6x-5x=-2+10}\\\displaystyle \large{x=8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%283x-5%292%3D%20%5Cfrac%7B1%7D%7B2%7D%285x-2%292%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B6x-10%3D%205x-2%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B6x-5x%3D-2%2B10%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7Bx%3D8%7D)
Since we want to find the midpoint line or WZ, substitute x = 8 in 3x-5
![\displaystyle \large{ZW = 3x-5}\\\displaystyle \large{ZW = 3(8)-5}\\\displaystyle \large{ZW = 24-5}\\\displaystyle \large{ZW =19}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%203x-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%203%288%29-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%2024-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D19%7D)
Therefore, ZW = 19
the only 2 possible answers are 2 and -2 .But the answer is y=2 because x is positive