Estimated answer is 4000 and actual answer is 3901
Step-by-step explanation:
- Step 1: Estimate 47 × 83 by rounding off to the nearest 10.
⇒ 47 ≈ 50 and 83 ≈ 80
⇒ 50 × 80 = 4000
- Step 2: Do the actual calculation of 47 × 83
47
× 83
------------
141
+ 376
------------
3901
------------
Answer:
![\large\boxed{y=\dfrac{1}{4}x+4}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D%5Cdfrac%7B1%7D%7B4%7Dx%2B4%7D)
Step-by-step explanation:
![Let:\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\============================\\\\\text{We have the equation of the line:}\ y=-4x+9\to m_1=-4.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-4}=\dfrac{1}{4}.\\\\\text{Put the value of the slope and the coodrdinates of the given point (4, 5)}\\\text{to the equation of a line}\ y=mx+b:\\\\5=\dfrac{1}{4}(4)+b\\\\5=1+b\qquad\text{subtract 1 from both sides}\\\\4=b\to b=4\\\\\text{Finally:}\\\\y=\dfrac{1}{4}x+4](https://tex.z-dn.net/?f=Let%3A%5C%5C%5C%5Ck%3Ay%3Dm_1x%2Bb_1%5C%5C%5C%5Cl%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D%5C%5C%5C%5Cl%5C%20%5Cparallel%5C%20k%5Ciff%20m_1%3Dm_2%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C%5C%5C%5Ctext%7BWe%20have%20the%20equation%20of%20the%20line%3A%7D%5C%20y%3D-4x%2B9%5Cto%20m_1%3D-4.%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%20m_2%3D-%5Cdfrac%7B1%7D%7B-4%7D%3D%5Cdfrac%7B1%7D%7B4%7D.%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20the%20slope%20and%20the%20coodrdinates%20of%20the%20given%20point%20%284%2C%205%29%7D%5C%5C%5Ctext%7Bto%20the%20equation%20of%20a%20line%7D%5C%20y%3Dmx%2Bb%3A%5C%5C%5C%5C5%3D%5Cdfrac%7B1%7D%7B4%7D%284%29%2Bb%5C%5C%5C%5C5%3D1%2Bb%5Cqquad%5Ctext%7Bsubtract%201%20from%20both%20sides%7D%5C%5C%5C%5C4%3Db%5Cto%20b%3D4%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B1%7D%7B4%7Dx%2B4)
Step-by-step explanation:
if we simply add 1 to numerator and denominator (top and bottom of the fraction), we get a fraction that is bigger than the original fraction and smaller than the fraction that added 2 to numerator and denominator.
so, my choice would be
4/5
5/6
6/7
7/8
8/9
9/10
10/11
Answer:
mwah
Step-by-step explanation: