Answer:
y-(-1)=2/3(x-5)
Step-by-step explanation:
Point slope form is
y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.
Substituting, we get
y-(-1)=2/3(x-5)
Since the Power is directly proportional to the velocity, their ratio

is constant.
<span>Therefore </span>

which is a proportion:
500 : 1000 = x : 1728
that can be easily solved:
x = (500×1728)/1000 = 864kW
Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
___
In the complex plane, this is -3+i·3√3.
Answer:
Step-by-step explanation:
In dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (scale factor is 2)
vertices of ABC are A(-2,2), B(-2,3), and C(1,2)
If we multiply by 2 from original to image,
then from image to original we divide by 2