The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees, and the measure of angle ABC is 50 degrees. Side BC measures 3 inches.

Which expression shows the height, AC, of the charging stand?

3 over cos 50 degrees
3(tan 50°)
3 over tan 50 degrees
3(cos 50°)

the answer to this question is in the pic

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all 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 ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

22

step-by-step explanation:

22

d.) 48 units

step-by-step explanation: