Answer:
<h3>A (3, 1)</h3>
Step-by-step explanation:
If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.
Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))
C' (-(-3), -(-1))
C' = (3, 1)
Hence option A is correct
<em>x = - 2</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>5x - 6 = - 16</em>
<em>5x = - 16 + 6</em>
<em>5x = - ( 16 - 6)</em>
<em>5x = - 10</em>
<em>x = - 10 : 2</em>
<em>x = - 2</em>
<em>Good luck ! </em>
We can solve this problem using discriminant.
x^2-4x-12's discriminant is
(-4)^2-4*-12=16+48 which is clearly larger than 0
This means that it crosses over the axes 2 times.
In case you don't know what discriminant is, its in equation ax^2+bx+c
the discriminant is b^2-4ac.
If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.
Hope this helped at least a little bit :D
Answer:No she does not
Step-by-step explanation:
8pens + 12pecils= 20writing inplements
20+8+12=40
20+8+12=60
You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.
3*8=24
24 is less than 60, so she does not have enough pens for 60 students