Answer:
2x+5y=-15
ax+bx=c
slope=-a/b so -2/5 matches up with point slope form
then to get y intercept substitite x in point slope for 0 and solve for Y to get -3
then do c/b to get y intercept, so -15/5, which equals -3.
Addition will be the last operation
Step-by-step explanation:
1) the domain is from -3 to 5 D [-3,5]
the range is from -5 to -2. R [-5,-2]
2)the domain is from -3 to 6 but not including 6 D [-3,6)
the range is from -5 but not including -5 to 2. R (-5,2]
The line of sight is the hypotenuse of a right triangle with short leg 400 m, 90 degree angle where the short leg meets the ground, an 83 degree angle at the top, and a 7 degree angle across from the right angle on the ground. Because this 7 degree angle is an alternate interior angle with the angle of depression, they are the same degree measure. Looking for the hypotenuse, we use the sin ratio: sin (7) = 400/x.
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
