For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.
According to this,
<span>[2.4] is the greatest integer , smaller than or equal to (so non greater) 2.4. This number is 2
similarly, </span>[-2.4] is the greatest integer , smaller than or equal to (so non greater) -2.4. This number is -3.
Answer:
A) <span>Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4. </span>
Realize the tangent function has a period of 180°, so when your calculator (or memory) tells you
.. θ = arctan(-1)
.. θ = -45°
you can translate that value into the desired range by adding multiples of 180° to get the two solutions ...
.. θ = 135°
.. θ = 315°
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{(5.5 \: , \: - 9.5)}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B%285.5%20%5C%3A%20%2C%20%5C%3A%20-%20%209.5%29%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let the points be A and B
Let A ( 9 , -9 ) be ( x₁ , y₁ ) and B ( 2 , - 10 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the</u><u> </u><u>midpoi</u><u>nt</u>
![\boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20%7D%7D)
![\longrightarrow{ \sf{midpoint = ( \frac{9 + 2}{2} , \: \frac{ - 9 + ( - 10)}{2}}} )](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B9%20%2B%202%7D%7B2%7D%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%209%20%20%2B%20%28%20-%2010%29%7D%7B2%7D%7D%7D%20%29)
![\longrightarrow{ \sf {midpoint = ( \frac{11}{2} \: , \: \frac{ - 9 - 10}{2}})}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%20%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B11%7D%7B2%7D%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%209%20-%2010%7D%7B2%7D%7D%29%7D%20)
![\longrightarrow{ \sf{midpoint = (5.5 \: , \: \frac{ - 19}{2}}} )](https://tex.z-dn.net/?f=%20%20%5Clongrightarrow%7B%20%20%5Csf%7Bmidpoint%20%3D%20%285.5%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%2019%7D%7B2%7D%7D%7D%20%29)
![\longrightarrow{ \sf{midpoint = (5.5 \: , - 9.5}})](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7Bmidpoint%20%3D%20%285.5%20%5C%3A%20%2C%20-%209.5%7D%7D%29)
Hope I helped!
Best regards! :D