9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cable. The cliffs are 740 feet apart and the first cliff is 280 feet taller than the second cliff. How long is the cable between the cliffs?

791.2 ft

Step-by-step explanation:

The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.

where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then

791.2 ft to the nearest tenth.

Step-by-step explanation:

From the diagram,we assume :

AD to be the height of the first cliff

BC to be the height of the second cliff

DC to be the length of the cable between the top of the two cliff.

AD=740 ft.

DE= 280 ft.

Using Pythagorean Theorem, we obtain.;

By substitution we obtain

Taking positive square root.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

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