Finding direction.
tan(θ)=-9/5
θ=-60.95 degrees approx.
Because the range of tan is restricted [-π/2,π/2]...
θ=180-60.95=119.05 degrees approx.
answer: 119.05 degrees approx.
Domain: The values that X could take, so domain = (-∞,+∞)
Range: The values that the dependant variable, f(x), could take. Since we can't get negative numbers, it'd be range = [0,+∞)
X and Y intercepts: The points in which you touch the axis. On this case the only one is the point (0,0).
Increasing and decreasing refers to the region where the function increases or decreases. It increases on (0,∞), and decreases on (-∞,0).
Sorry, but I don't understand what you mean with "transformations", at least the way you're written it. If you give me a bit more of info, I'll do my best to help :)
using the equation for the transformation:
(x+1, 3y)
add 1 to very X and multiply y by 3
so (-2,0) becomes (-1,0)
(-2,3) becomes (-1,9)
(-5,1) becomes (-4,3)
new coordinates are (-1,0) (-1,9) (-4,3)
you don't have an image attached, so to see if they are congruent, the sides need to stay the same lengths and the angles need to stay the same, from the coordinates of the new triangle, I would say they are not congruent
Answer:
x = 1
Step-by-step explanation:
11 = 7 + 4x
Subtract 7 from both sides
11-7 = 7-7 + 4x
4 = 4x
Divide 4 from both sides
4/4 = 4x/4
1 = x
x = 1
Check:
11 = 7 +4(1)
11 = 7+4
11 = 11
Hope this helps. Have a nice day.
Answer:
Step-by-step explanation:
1/2 + 2/3 = 7/6
1/2 - 2/3 = - 1/6
