Answer:
x= 2 Square root 2
Step-by-step explanation:
x^2=8
x= Square root 8
=2 Square root 2
Answer:
As x increases , y decreases then increases
Step-by-step explanation:
There are two situation
1> when x < 0
2> when x>= 0
let see
when x < 0
we see that as value of x moves from -ve value towards zero (i.e x is increasing) then value of y is decreasing( value of x has moved from positive side of y( above x-axis) towards negative side of (below x-axis)\
Thus, we can say that
for x < 0
As x increases , y decreases
________________________________________
when x>= 0
we see that as value of x moves from 0 towards +ve value(i.e x is increasing) then value of y is increasing( value of x has moved from negative side of y( below x-axis) towards positive side of (above x-axis)\
Thus, we can say that
for x >= 0
As x increases , y increases
_________________________________________
combining both observation it can be said that
As x increases , y decreases then increases which is equal to fouth option
Answer:
Lines that are parallel have the same gradient.
Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.
So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))--->y=-5/6x-7.
Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.
Equation of the linear graph is given by: (y - (-7))/(x - (-3)) = (-2 - (-7))/(2 - (-3)) (y + 7)/(x + 3) = (-2 + 7)/(2 + 3) = 5/5 = 1
y + 7 = x + 3
y = x - 4
Also, for the parabola: -(3)^2 + 2 = -9 + 2 = -7
Therefore solution is:
y = -x^2 + 2
y = x - 4
Check the picture below.
so, if we get the whole area of the figure, which will be the combined areas of those three rectangles, and if we get the area of the triangle, and then subtract that area from of the triangle from the whole figure's area, we're in effect making a whole in the total area, and what's leftover is the shaded area.
