A five foot tall girl casts a 7 foot long shadow. A nearby telephone pole casts a 35 foot long shadow. What is the height of the telephone pole?

25 feet

Step-by-step explanation:

1. Set up a proportion

=

x = the height of the telephone pole

2. Cross multiply

5 * 35 = 175

7 * x = 7x

175 = 7x

3. Solve for x

25 = x

The height of the telephone pole is 25 feet.

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

-1   1/6.   you dont subtract the denominators

step-by-step explanation: