Answer:
-7/9
Step-by-step explanation:
the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.
Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.
The 'rise' of this line is 7 - (-7), which equals 14
The 'run' would then be -24 - (-6), which equals -18
Thus the slope is 14/(-18). Reducing this fraction gives us an answer of -7/9.
<span> x = 10<span> x = 4 </span></span>Two real solutions:
x =(14+√36<span>)/2=7+3= 10.000 </span>
or:
x =(14-√36)/2=7-3= 4.000
Answer:
X = - 6/17
Step-by-step explanation:
Simple you have to act like a imaginary one is there
Answer:
The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Step-by-step explanation:
The polar form of the Cartesian coordinates (x , y) is (r , Ф), where
-
- Ф =
The Cartesian coordinates is (6 , -3)
That means the point lies in the fourth quadrant because the x-coordinate is positive and the y-coordinate is negative, so Ф will be equal [2π - ] (neglect the negative sign of y-coordinate)
∵ x = 6 and y = -3
∵ r > 0
∵
- Substitute x and y in the rule of r
∴
∴
∴
∴
Now let us find Ф
∵ 0 ≤ Ф < 2π
∴ Ф = 2π -
- Neglect the negative sign of the y-coordinate
∴ Ф = 2π -
∴ Ф = 333.4° OR Ф = 5.82 radiant
∴ The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)