Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i.
1 answer:
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For this case we will define the following:
A, B: are the values of the triangle angles
a, b: are the values of the lengths of the sides opposite the angles A, B.
We then have to use the law of the sine:
Clearing the angle B we have:
Substituting values we have:
Answer:
the following is true:
A. angle B=38.08 degrees
A, B: are the values of the triangle angles
a, b: are the values of the lengths of the sides opposite the angles A, B.
We then have to use the law of the sine:
Clearing the angle B we have:
Substituting values we have:
Answer:
the following is true:
A. angle B=38.08 degrees
The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( , 3) and (x₂, y₂ ) = (- 4, - 1 )
m = = (- 4)/-
=
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - + c ⇒ c =
y = x +
← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form