Hank is running sprints on a football field and likes to challenge himself, so instead of running straight down the field, he runs on the diagonal. Of the field is 50 yards wide and 100 yards long, how far does he run on the diagonal? Round your answer to the nearest yard.

112 yards

Step-by-step explanation:

Applying Pythagoras theorem,

Pythagoras theorem states that, in a right angle triangle, the square of the hypotenuse is equal to the sum of the square of the two other sides.

Mathematically, it is expressed as

a² = b²+c² Equation 1

Where a = Length of the diagonal, b and c = lenght of the two other sides

From the question,

Given: b = 50 yards, c = 100  yards.

Substitute these values into equation 1

a² = 50²+100²

a² = 2500+10000

a² = 12500

a = √12500

a = 111.8

a = 112 yards

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

step-by-step explanation: