You are standing in front of a flagpole. The distance from your feet to the base of the
pole is 17 feet, and the height of the pole
is 9 feet. Determine the distance from
your feet to the top of the pole to the
nearest hundredth of a foot.
K
9
m=9 ft
M
k 17 ft.

19.24 feet

Step-by-step explanation:

The line from your feet to the pole is one side of a triangle, 17 feet long. The pole itself is another side, 9 feet long, at a 90 ° angle to the ground. So these two sides are the legs (shorter two sides) of a right triangle. The line from your feet to the top of the pole is the third side of the triangle. It is also the side opposite the 90° angle between the ground and the pole, so it is the hypotenuse of a right triangle.

Since it is a right triangle, we can use the Pythagorean Theorem:

c² = a² + b², so

'c' is the distance from your feet to the pole, the hypotenuse of the right triangle.

c² = 17² + 9² = 289 + 81 = 370

c² = 370

c = SQR ROOT OF (370)

c ≈ 19.23538406...

So, rounding to hundredths, c is approx. 19.24 feet

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.